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Finding the Fourth Proportional to 761.44, 1,050.64 and 429.74

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Solution

The fourth proportional to 761.44, 1,050.64 and 429.74 is: 592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.44 : 1,050.64 = 429.74 : x
  2. Step 2: Convert to fraction form
    761.44/1,050.64 = 429.74/x
  3. Step 3: Cross multiply
    761.44x = 1,050.64 × 429.74
  4. Step 4: Simplify right side
    761.44x = 451,502.03
  5. Step 5: Solve for x
    x = 451,502.03/761.44
  6. Step 6: Final answer
    x = 592.96

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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.