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Finding the Fourth Proportional to 761.33, 1,050.57 and 429.69

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Solution

The fourth proportional to 761.33, 1,050.57 and 429.69 is: 592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.33 : 1,050.57 = 429.69 : x
  2. Step 2: Convert to fraction form
    761.33/1,050.57 = 429.69/x
  3. Step 3: Cross multiply
    761.33x = 1,050.57 × 429.69
  4. Step 4: Simplify right side
    761.33x = 451,423.36
  5. Step 5: Solve for x
    x = 451,423.36/761.33
  6. Step 6: Final answer
    x = 592.94

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