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Finding the Fourth Proportional to 1,001.60, 1,382.25 and 608.85

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Solution

The fourth proportional to 1,001.60, 1,382.25 and 608.85 is: 840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.60 : 1,382.25 = 608.85 : x
  2. Step 2: Convert to fraction form
    1,001.60/1,382.25 = 608.85/x
  3. Step 3: Cross multiply
    1,001.60x = 1,382.25 × 608.85
  4. Step 4: Simplify right side
    1,001.60x = 841,585.20
  5. Step 5: Solve for x
    x = 841,585.20/1,001.60
  6. Step 6: Final answer
    x = 840.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.