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Finding the Fourth Proportional to 1,265.76, 1,892.16 and 974.16

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Solution

The fourth proportional to 1,265.76, 1,892.16 and 974.16 is: 1,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.76 : 1,892.16 = 974.16 : x
  2. Step 2: Convert to fraction form
    1,265.76/1,892.16 = 974.16/x
  3. Step 3: Cross multiply
    1,265.76x = 1,892.16 × 974.16
  4. Step 4: Simplify right side
    1,265.76x = 1,843,266.59
  5. Step 5: Solve for x
    x = 1,843,266.59/1,265.76
  6. Step 6: Final answer
    x = 1,456.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.