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Finding the Fourth Proportional to 1,048.26, 1,572.64 and 471.12

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Solution

The fourth proportional to 1,048.26, 1,572.64 and 471.12 is: 706.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.26 : 1,572.64 = 471.12 : x
  2. Step 2: Convert to fraction form
    1,048.26/1,572.64 = 471.12/x
  3. Step 3: Cross multiply
    1,048.26x = 1,572.64 × 471.12
  4. Step 4: Simplify right side
    1,048.26x = 740,902.16
  5. Step 5: Solve for x
    x = 740,902.16/1,048.26
  6. Step 6: Final answer
    x = 706.79

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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.