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Finding the Fourth Proportional to 1,022.61, 1,410.99 and 624.18

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Solution

The fourth proportional to 1,022.61, 1,410.99 and 624.18 is: 861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.61 : 1,410.99 = 624.18 : x
  2. Step 2: Convert to fraction form
    1,022.61/1,410.99 = 624.18/x
  3. Step 3: Cross multiply
    1,022.61x = 1,410.99 × 624.18
  4. Step 4: Simplify right side
    1,022.61x = 880,711.74
  5. Step 5: Solve for x
    x = 880,711.74/1,022.61
  6. Step 6: Final answer
    x = 861.24

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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.