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Finding the Fourth Proportional to 975.70, 1,462.68 and 585.82

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Solution

The fourth proportional to 975.70, 1,462.68 and 585.82 is: 878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.70 : 1,462.68 = 585.82 : x
  2. Step 2: Convert to fraction form
    975.70/1,462.68 = 585.82/x
  3. Step 3: Cross multiply
    975.70x = 1,462.68 × 585.82
  4. Step 4: Simplify right side
    975.70x = 856,867.20
  5. Step 5: Solve for x
    x = 856,867.20/975.70
  6. Step 6: Final answer
    x = 878.21

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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.