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Finding the Fourth Proportional to 1,307.73, 1,805.46 and 866.01

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Solution

The fourth proportional to 1,307.73, 1,805.46 and 866.01 is: 1,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.73 : 1,805.46 = 866.01 : x
  2. Step 2: Convert to fraction form
    1,307.73/1,805.46 = 866.01/x
  3. Step 3: Cross multiply
    1,307.73x = 1,805.46 × 866.01
  4. Step 4: Simplify right side
    1,307.73x = 1,563,546.41
  5. Step 5: Solve for x
    x = 1,563,546.41/1,307.73
  6. Step 6: Final answer
    x = 1,195.62

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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.