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Finding the Fourth Proportional to 1,154.25, 1,592.87 and 740.97

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Solution

The fourth proportional to 1,154.25, 1,592.87 and 740.97 is: 1,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.25 : 1,592.87 = 740.97 : x
  2. Step 2: Convert to fraction form
    1,154.25/1,592.87 = 740.97/x
  3. Step 3: Cross multiply
    1,154.25x = 1,592.87 × 740.97
  4. Step 4: Simplify right side
    1,154.25x = 1,180,265.18
  5. Step 5: Solve for x
    x = 1,180,265.18/1,154.25
  6. Step 6: Final answer
    x = 1,022.54

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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.