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Finding the Fourth Proportional to 1,061.22, 1,590.29 and 781.40

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Solution

The fourth proportional to 1,061.22, 1,590.29 and 781.40 is: 1,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.22 : 1,590.29 = 781.40 : x
  2. Step 2: Convert to fraction form
    1,061.22/1,590.29 = 781.40/x
  3. Step 3: Cross multiply
    1,061.22x = 1,590.29 × 781.40
  4. Step 4: Simplify right side
    1,061.22x = 1,242,640.75
  5. Step 5: Solve for x
    x = 1,242,640.75/1,061.22
  6. Step 6: Final answer
    x = 1,170.95

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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.