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Finding the Fourth Proportional to 765.42, 1,148.34 and 376.20

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Solution

The fourth proportional to 765.42, 1,148.34 and 376.20 is: 564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.42 : 1,148.34 = 376.20 : x
  2. Step 2: Convert to fraction form
    765.42/1,148.34 = 376.20/x
  3. Step 3: Cross multiply
    765.42x = 1,148.34 × 376.20
  4. Step 4: Simplify right side
    765.42x = 432,005.51
  5. Step 5: Solve for x
    x = 432,005.51/765.42
  6. Step 6: Final answer
    x = 564.40

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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.