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Finding the Fourth Proportional to 1,047.87, 1,572.24 and 527.59

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Solution

The fourth proportional to 1,047.87, 1,572.24 and 527.59 is: 791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.87 : 1,572.24 = 527.59 : x
  2. Step 2: Convert to fraction form
    1,047.87/1,572.24 = 527.59/x
  3. Step 3: Cross multiply
    1,047.87x = 1,572.24 × 527.59
  4. Step 4: Simplify right side
    1,047.87x = 829,495.46
  5. Step 5: Solve for x
    x = 829,495.46/1,047.87
  6. Step 6: Final answer
    x = 791.60

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Why These Related Problems?

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