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Finding the Fourth Proportional to 1,117.63, 1,542.58 and 723.97

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Solution

The fourth proportional to 1,117.63, 1,542.58 and 723.97 is: 999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.63 : 1,542.58 = 723.97 : x
  2. Step 2: Convert to fraction form
    1,117.63/1,542.58 = 723.97/x
  3. Step 3: Cross multiply
    1,117.63x = 1,542.58 × 723.97
  4. Step 4: Simplify right side
    1,117.63x = 1,116,781.64
  5. Step 5: Solve for x
    x = 1,116,781.64/1,117.63
  6. Step 6: Final answer
    x = 999.24

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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.