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Finding the Fourth Proportional to 1,017.96, 1,404.81 and 624.76

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Solution

The fourth proportional to 1,017.96, 1,404.81 and 624.76 is: 862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.96 : 1,404.81 = 624.76 : x
  2. Step 2: Convert to fraction form
    1,017.96/1,404.81 = 624.76/x
  3. Step 3: Cross multiply
    1,017.96x = 1,404.81 × 624.76
  4. Step 4: Simplify right side
    1,017.96x = 877,669.10
  5. Step 5: Solve for x
    x = 877,669.10/1,017.96
  6. Step 6: Final answer
    x = 862.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.