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Finding the Fourth Proportional to 972.68, 1,459.56 and 582.80

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Solution

The fourth proportional to 972.68, 1,459.56 and 582.80 is: 874.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.68 : 1,459.56 = 582.80 : x
  2. Step 2: Convert to fraction form
    972.68/1,459.56 = 582.80/x
  3. Step 3: Cross multiply
    972.68x = 1,459.56 × 582.80
  4. Step 4: Simplify right side
    972.68x = 850,631.57
  5. Step 5: Solve for x
    x = 850,631.57/972.68
  6. Step 6: Final answer
    x = 874.52

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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.