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Finding the Fourth Proportional to 1,048.17, 1,572.86 and 471.04

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Solution

The fourth proportional to 1,048.17, 1,572.86 and 471.04 is: 706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.17 : 1,572.86 = 471.04 : x
  2. Step 2: Convert to fraction form
    1,048.17/1,572.86 = 471.04/x
  3. Step 3: Cross multiply
    1,048.17x = 1,572.86 × 471.04
  4. Step 4: Simplify right side
    1,048.17x = 740,879.97
  5. Step 5: Solve for x
    x = 740,879.97/1,048.17
  6. Step 6: Final answer
    x = 706.83

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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.