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Finding the Fourth Proportional to 970.60, 1,454.99 and 483.19

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Solution

The fourth proportional to 970.60, 1,454.99 and 483.19 is: 724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.60 : 1,454.99 = 483.19 : x
  2. Step 2: Convert to fraction form
    970.60/1,454.99 = 483.19/x
  3. Step 3: Cross multiply
    970.60x = 1,454.99 × 483.19
  4. Step 4: Simplify right side
    970.60x = 703,034.20
  5. Step 5: Solve for x
    x = 703,034.20/970.60
  6. Step 6: Final answer
    x = 724.33

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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.