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Finding the Fourth Proportional to 761.42, 1,050.69 and 429.77

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Solution

The fourth proportional to 761.42, 1,050.69 and 429.77 is: 593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.42 : 1,050.69 = 429.77 : x
  2. Step 2: Convert to fraction form
    761.42/1,050.69 = 429.77/x
  3. Step 3: Cross multiply
    761.42x = 1,050.69 × 429.77
  4. Step 4: Simplify right side
    761.42x = 451,549.79
  5. Step 5: Solve for x
    x = 451,549.79/761.42
  6. Step 6: Final answer
    x = 593.04

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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.