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Finding the Fourth Proportional to 1,112.90, 1,670.38 and 565.47

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Solution

The fourth proportional to 1,112.90, 1,670.38 and 565.47 is: 848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.90 : 1,670.38 = 565.47 : x
  2. Step 2: Convert to fraction form
    1,112.90/1,670.38 = 565.47/x
  3. Step 3: Cross multiply
    1,112.90x = 1,670.38 × 565.47
  4. Step 4: Simplify right side
    1,112.90x = 944,549.78
  5. Step 5: Solve for x
    x = 944,549.78/1,112.90
  6. Step 6: Final answer
    x = 848.73

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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.