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Finding the Fourth Proportional to 765.04, 1,147.58 and 332.19

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Solution

The fourth proportional to 765.04, 1,147.58 and 332.19 is: 498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.04 : 1,147.58 = 332.19 : x
  2. Step 2: Convert to fraction form
    765.04/1,147.58 = 332.19/x
  3. Step 3: Cross multiply
    765.04x = 1,147.58 × 332.19
  4. Step 4: Simplify right side
    765.04x = 381,214.60
  5. Step 5: Solve for x
    x = 381,214.60/765.04
  6. Step 6: Final answer
    x = 498.29

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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.