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Finding the Fourth Proportional to 1,005.61, 1,508.42 and 492.25

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Solution

The fourth proportional to 1,005.61, 1,508.42 and 492.25 is: 738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.61 : 1,508.42 = 492.25 : x
  2. Step 2: Convert to fraction form
    1,005.61/1,508.42 = 492.25/x
  3. Step 3: Cross multiply
    1,005.61x = 1,508.42 × 492.25
  4. Step 4: Simplify right side
    1,005.61x = 742,517.28
  5. Step 5: Solve for x
    x = 742,517.28/1,005.61
  6. Step 6: Final answer
    x = 738.38

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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.