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Finding the Fourth Proportional to 1,332.98, 2,000.36 and 467.29

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Solution

The fourth proportional to 1,332.98, 2,000.36 and 467.29 is: 701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.98 : 2,000.36 = 467.29 : x
  2. Step 2: Convert to fraction form
    1,332.98/2,000.36 = 467.29/x
  3. Step 3: Cross multiply
    1,332.98x = 2,000.36 × 467.29
  4. Step 4: Simplify right side
    1,332.98x = 934,748.22
  5. Step 5: Solve for x
    x = 934,748.22/1,332.98
  6. Step 6: Final answer
    x = 701.25

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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.