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Finding the Fourth Proportional to 761.26, 1,050.52 and 425.16

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Solution

The fourth proportional to 761.26, 1,050.52 and 425.16 is: 586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.26 : 1,050.52 = 425.16 : x
  2. Step 2: Convert to fraction form
    761.26/1,050.52 = 425.16/x
  3. Step 3: Cross multiply
    761.26x = 1,050.52 × 425.16
  4. Step 4: Simplify right side
    761.26x = 446,639.08
  5. Step 5: Solve for x
    x = 446,639.08/761.26
  6. Step 6: Final answer
    x = 586.71

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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.