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Finding the Fourth Proportional to 1,307.72, 1,803.76 and 809.49

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Solution

The fourth proportional to 1,307.72, 1,803.76 and 809.49 is: 1,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.72 : 1,803.76 = 809.49 : x
  2. Step 2: Convert to fraction form
    1,307.72/1,803.76 = 809.49/x
  3. Step 3: Cross multiply
    1,307.72x = 1,803.76 × 809.49
  4. Step 4: Simplify right side
    1,307.72x = 1,460,130.42
  5. Step 5: Solve for x
    x = 1,460,130.42/1,307.72
  6. Step 6: Final answer
    x = 1,116.54

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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.