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Finding the Fourth Proportional to 1,089.90, 1,503.36 and 624.15

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Solution

The fourth proportional to 1,089.90, 1,503.36 and 624.15 is: 860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.90 : 1,503.36 = 624.15 : x
  2. Step 2: Convert to fraction form
    1,089.90/1,503.36 = 624.15/x
  3. Step 3: Cross multiply
    1,089.90x = 1,503.36 × 624.15
  4. Step 4: Simplify right side
    1,089.90x = 938,322.14
  5. Step 5: Solve for x
    x = 938,322.14/1,089.90
  6. Step 6: Final answer
    x = 860.92

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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.