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Finding the Fourth Proportional to 861.01, 1,290.99 and 470.47

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Solution

The fourth proportional to 861.01, 1,290.99 and 470.47 is: 705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.01 : 1,290.99 = 470.47 : x
  2. Step 2: Convert to fraction form
    861.01/1,290.99 = 470.47/x
  3. Step 3: Cross multiply
    861.01x = 1,290.99 × 470.47
  4. Step 4: Simplify right side
    861.01x = 607,372.07
  5. Step 5: Solve for x
    x = 607,372.07/861.01
  6. Step 6: Final answer
    x = 705.42

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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.