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Finding the Fourth Proportional to 1,089.80, 1,503.70 and 624.20

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Solution

The fourth proportional to 1,089.80, 1,503.70 and 624.20 is: 861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.80 : 1,503.70 = 624.20 : x
  2. Step 2: Convert to fraction form
    1,089.80/1,503.70 = 624.20/x
  3. Step 3: Cross multiply
    1,089.80x = 1,503.70 × 624.20
  4. Step 4: Simplify right side
    1,089.80x = 938,609.54
  5. Step 5: Solve for x
    x = 938,609.54/1,089.80
  6. Step 6: Final answer
    x = 861.27

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1.5x scale

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.