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Finding the Fourth Proportional to 1,324.04, 1,987.04 and 491.87

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Solution

The fourth proportional to 1,324.04, 1,987.04 and 491.87 is: 738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.04 : 1,987.04 = 491.87 : x
  2. Step 2: Convert to fraction form
    1,324.04/1,987.04 = 491.87/x
  3. Step 3: Cross multiply
    1,324.04x = 1,987.04 × 491.87
  4. Step 4: Simplify right side
    1,324.04x = 977,356.66
  5. Step 5: Solve for x
    x = 977,356.66/1,324.04
  6. Step 6: Final answer
    x = 738.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.