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Finding the Fourth Proportional to 1,105.20, 1,657.89 and 585

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Solution

The fourth proportional to 1,105.20, 1,657.89 and 585 is: 877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.20 : 1,657.89 = 585 : x
  2. Step 2: Convert to fraction form
    1,105.20/1,657.89 = 585/x
  3. Step 3: Cross multiply
    1,105.20x = 1,657.89 × 585
  4. Step 4: Simplify right side
    1,105.20x = 969,865.65
  5. Step 5: Solve for x
    x = 969,865.65/1,105.20
  6. Step 6: Final answer
    x = 877.55

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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.