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Finding the Fourth Proportional to 1,117.32, 1,542 and 697.92

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Solution

The fourth proportional to 1,117.32, 1,542 and 697.92 is: 963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.32 : 1,542 = 697.92 : x
  2. Step 2: Convert to fraction form
    1,117.32/1,542 = 697.92/x
  3. Step 3: Cross multiply
    1,117.32x = 1,542 × 697.92
  4. Step 4: Simplify right side
    1,117.32x = 1,076,192.64
  5. Step 5: Solve for x
    x = 1,076,192.64/1,117.32
  6. Step 6: Final answer
    x = 963.19

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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.