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Finding the Fourth Proportional to 862.05, 1,291.01 and 471.47

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Solution

The fourth proportional to 862.05, 1,291.01 and 471.47 is: 706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.05 : 1,291.01 = 471.47 : x
  2. Step 2: Convert to fraction form
    862.05/1,291.01 = 471.47/x
  3. Step 3: Cross multiply
    862.05x = 1,291.01 × 471.47
  4. Step 4: Simplify right side
    862.05x = 608,663.67
  5. Step 5: Solve for x
    x = 608,663.67/862.05
  6. Step 6: Final answer
    x = 706.07

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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.