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Finding the Fourth Proportional to 688.18, 1,036.09 and 473.17

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Solution

The fourth proportional to 688.18, 1,036.09 and 473.17 is: 712.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.18 : 1,036.09 = 473.17 : x
  2. Step 2: Convert to fraction form
    688.18/1,036.09 = 473.17/x
  3. Step 3: Cross multiply
    688.18x = 1,036.09 × 473.17
  4. Step 4: Simplify right side
    688.18x = 490,246.71
  5. Step 5: Solve for x
    x = 490,246.71/688.18
  6. Step 6: Final answer
    x = 712.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.