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Finding the Fourth Proportional to 1,017, 1,403.72 and 624.35

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Solution

The fourth proportional to 1,017, 1,403.72 and 624.35 is: 861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017 : 1,403.72 = 624.35 : x
  2. Step 2: Convert to fraction form
    1,017/1,403.72 = 624.35/x
  3. Step 3: Cross multiply
    1,017x = 1,403.72 × 624.35
  4. Step 4: Simplify right side
    1,017x = 876,417.65
  5. Step 5: Solve for x
    x = 876,417.65/1,017
  6. Step 6: Final answer
    x = 861.77

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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.