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Finding the Fourth Proportional to 975.66, 1,462.40 and 586.18

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Solution

The fourth proportional to 975.66, 1,462.40 and 586.18 is: 878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.66 : 1,462.40 = 586.18 : x
  2. Step 2: Convert to fraction form
    975.66/1,462.40 = 586.18/x
  3. Step 3: Cross multiply
    975.66x = 1,462.40 × 586.18
  4. Step 4: Simplify right side
    975.66x = 857,229.63
  5. Step 5: Solve for x
    x = 857,229.63/975.66
  6. Step 6: Final answer
    x = 878.62

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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.