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Finding the Fourth Proportional to 1,310.59, 1,966.01 and 421.25

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Solution

The fourth proportional to 1,310.59, 1,966.01 and 421.25 is: 631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.59 : 1,966.01 = 421.25 : x
  2. Step 2: Convert to fraction form
    1,310.59/1,966.01 = 421.25/x
  3. Step 3: Cross multiply
    1,310.59x = 1,966.01 × 421.25
  4. Step 4: Simplify right side
    1,310.59x = 828,169.78
  5. Step 5: Solve for x
    x = 828,169.78/1,310.59
  6. Step 6: Final answer
    x = 631.91

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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.