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Finding the Fourth Proportional to 1,317.01, 1,975.48 and 484.10

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Solution

The fourth proportional to 1,317.01, 1,975.48 and 484.10 is: 726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.01 : 1,975.48 = 484.10 : x
  2. Step 2: Convert to fraction form
    1,317.01/1,975.48 = 484.10/x
  3. Step 3: Cross multiply
    1,317.01x = 1,975.48 × 484.10
  4. Step 4: Simplify right side
    1,317.01x = 956,329.87
  5. Step 5: Solve for x
    x = 956,329.87/1,317.01
  6. Step 6: Final answer
    x = 726.14

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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.