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Finding the Fourth Proportional to 707.76, 1,062.34 and 464.46

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Solution

The fourth proportional to 707.76, 1,062.34 and 464.46 is: 697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.76 : 1,062.34 = 464.46 : x
  2. Step 2: Convert to fraction form
    707.76/1,062.34 = 464.46/x
  3. Step 3: Cross multiply
    707.76x = 1,062.34 × 464.46
  4. Step 4: Simplify right side
    707.76x = 493,413.59
  5. Step 5: Solve for x
    x = 493,413.59/707.76
  6. Step 6: Final answer
    x = 697.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.