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Finding the Fourth Proportional to 761.16, 1,050.24 and 465.90

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Solution

The fourth proportional to 761.16, 1,050.24 and 465.90 is: 642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.16 : 1,050.24 = 465.90 : x
  2. Step 2: Convert to fraction form
    761.16/1,050.24 = 465.90/x
  3. Step 3: Cross multiply
    761.16x = 1,050.24 × 465.90
  4. Step 4: Simplify right side
    761.16x = 489,306.82
  5. Step 5: Solve for x
    x = 489,306.82/761.16
  6. Step 6: Final answer
    x = 642.84

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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.