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Finding the Fourth Proportional to 1,307.09, 1,803.06 and 810.14

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Solution

The fourth proportional to 1,307.09, 1,803.06 and 810.14 is: 1,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.09 : 1,803.06 = 810.14 : x
  2. Step 2: Convert to fraction form
    1,307.09/1,803.06 = 810.14/x
  3. Step 3: Cross multiply
    1,307.09x = 1,803.06 × 810.14
  4. Step 4: Simplify right side
    1,307.09x = 1,460,731.03
  5. Step 5: Solve for x
    x = 1,460,731.03/1,307.09
  6. Step 6: Final answer
    x = 1,117.54

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.