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Finding the Fourth Proportional to 975.87, 1,462.16 and 590.31

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Solution

The fourth proportional to 975.87, 1,462.16 and 590.31 is: 884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.87 : 1,462.16 = 590.31 : x
  2. Step 2: Convert to fraction form
    975.87/1,462.16 = 590.31/x
  3. Step 3: Cross multiply
    975.87x = 1,462.16 × 590.31
  4. Step 4: Simplify right side
    975.87x = 863,127.67
  5. Step 5: Solve for x
    x = 863,127.67/975.87
  6. Step 6: Final answer
    x = 884.47

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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.