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Finding the Fourth Proportional to 1,106.74, 1,657.14 and 585.66

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Solution

The fourth proportional to 1,106.74, 1,657.14 and 585.66 is: 876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.74 : 1,657.14 = 585.66 : x
  2. Step 2: Convert to fraction form
    1,106.74/1,657.14 = 585.66/x
  3. Step 3: Cross multiply
    1,106.74x = 1,657.14 × 585.66
  4. Step 4: Simplify right side
    1,106.74x = 970,520.61
  5. Step 5: Solve for x
    x = 970,520.61/1,106.74
  6. Step 6: Final answer
    x = 876.92

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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.