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Finding the Fourth Proportional to 765.93, 1,148.47 and 354.84

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Solution

The fourth proportional to 765.93, 1,148.47 and 354.84 is: 532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.93 : 1,148.47 = 354.84 : x
  2. Step 2: Convert to fraction form
    765.93/1,148.47 = 354.84/x
  3. Step 3: Cross multiply
    765.93x = 1,148.47 × 354.84
  4. Step 4: Simplify right side
    765.93x = 407,523.09
  5. Step 5: Solve for x
    x = 407,523.09/765.93
  6. Step 6: Final answer
    x = 532.06

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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.