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Finding the Fourth Proportional to 761.78, 1,051.17 and 430.14

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Solution

The fourth proportional to 761.78, 1,051.17 and 430.14 is: 593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.78 : 1,051.17 = 430.14 : x
  2. Step 2: Convert to fraction form
    761.78/1,051.17 = 430.14/x
  3. Step 3: Cross multiply
    761.78x = 1,051.17 × 430.14
  4. Step 4: Simplify right side
    761.78x = 452,150.26
  5. Step 5: Solve for x
    x = 452,150.26/761.78
  6. Step 6: Final answer
    x = 593.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.