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Finding the Fourth Proportional to 861.49, 1,291.51 and 714.83

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Solution

The fourth proportional to 861.49, 1,291.51 and 714.83 is: 1,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.49 : 1,291.51 = 714.83 : x
  2. Step 2: Convert to fraction form
    861.49/1,291.51 = 714.83/x
  3. Step 3: Cross multiply
    861.49x = 1,291.51 × 714.83
  4. Step 4: Simplify right side
    861.49x = 923,209.37
  5. Step 5: Solve for x
    x = 923,209.37/861.49
  6. Step 6: Final answer
    x = 1,071.64

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1.5x scale

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.