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Finding the Fourth Proportional to 1,047.80, 1,572.05 and 560.75

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Solution

The fourth proportional to 1,047.80, 1,572.05 and 560.75 is: 841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.80 : 1,572.05 = 560.75 : x
  2. Step 2: Convert to fraction form
    1,047.80/1,572.05 = 560.75/x
  3. Step 3: Cross multiply
    1,047.80x = 1,572.05 × 560.75
  4. Step 4: Simplify right side
    1,047.80x = 881,520.58
  5. Step 5: Solve for x
    x = 881,520.58/1,047.80
  6. Step 6: Final answer
    x = 841.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.