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Finding the Fourth Proportional to 698.68, 962.51 and 488.46

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Solution

The fourth proportional to 698.68, 962.51 and 488.46 is: 672.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.68 : 962.51 = 488.46 : x
  2. Step 2: Convert to fraction form
    698.68/962.51 = 488.46/x
  3. Step 3: Cross multiply
    698.68x = 962.51 × 488.46
  4. Step 4: Simplify right side
    698.68x = 470,152.47
  5. Step 5: Solve for x
    x = 470,152.47/698.68
  6. Step 6: Final answer
    x = 672.92

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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.