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Finding the Fourth Proportional to 1,047.87, 1,572.08 and 499.77

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Solution

The fourth proportional to 1,047.87, 1,572.08 and 499.77 is: 749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.87 : 1,572.08 = 499.77 : x
  2. Step 2: Convert to fraction form
    1,047.87/1,572.08 = 499.77/x
  3. Step 3: Cross multiply
    1,047.87x = 1,572.08 × 499.77
  4. Step 4: Simplify right side
    1,047.87x = 785,675.92
  5. Step 5: Solve for x
    x = 785,675.92/1,047.87
  6. Step 6: Final answer
    x = 749.78

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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.