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Finding the Fourth Proportional to 975.36, 1,463.20 and 462.08

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Solution

The fourth proportional to 975.36, 1,463.20 and 462.08 is: 693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.36 : 1,463.20 = 462.08 : x
  2. Step 2: Convert to fraction form
    975.36/1,463.20 = 462.08/x
  3. Step 3: Cross multiply
    975.36x = 1,463.20 × 462.08
  4. Step 4: Simplify right side
    975.36x = 676,115.46
  5. Step 5: Solve for x
    x = 676,115.46/975.36
  6. Step 6: Final answer
    x = 693.20

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