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Finding the Fourth Proportional to 1,417.32, 1,957.14 and 952.92

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Solution

The fourth proportional to 1,417.32, 1,957.14 and 952.92 is: 1,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.32 : 1,957.14 = 952.92 : x
  2. Step 2: Convert to fraction form
    1,417.32/1,957.14 = 952.92/x
  3. Step 3: Cross multiply
    1,417.32x = 1,957.14 × 952.92
  4. Step 4: Simplify right side
    1,417.32x = 1,864,997.85
  5. Step 5: Solve for x
    x = 1,864,997.85/1,417.32
  6. Step 6: Final answer
    x = 1,315.86

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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.