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Finding the Fourth Proportional to 975.26, 1,462.90 and 590.30

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Solution

The fourth proportional to 975.26, 1,462.90 and 590.30 is: 885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.26 : 1,462.90 = 590.30 : x
  2. Step 2: Convert to fraction form
    975.26/1,462.90 = 590.30/x
  3. Step 3: Cross multiply
    975.26x = 1,462.90 × 590.30
  4. Step 4: Simplify right side
    975.26x = 863,549.87
  5. Step 5: Solve for x
    x = 863,549.87/975.26
  6. Step 6: Final answer
    x = 885.46

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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.