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Finding the Fourth Proportional to 1,048.80, 1,572.53 and 501.78

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Solution

The fourth proportional to 1,048.80, 1,572.53 and 501.78 is: 752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.80 : 1,572.53 = 501.78 : x
  2. Step 2: Convert to fraction form
    1,048.80/1,572.53 = 501.78/x
  3. Step 3: Cross multiply
    1,048.80x = 1,572.53 × 501.78
  4. Step 4: Simplify right side
    1,048.80x = 789,061.59
  5. Step 5: Solve for x
    x = 789,061.59/1,048.80
  6. Step 6: Final answer
    x = 752.35

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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.