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Finding the Fourth Proportional to 972.32, 1,341.68 and 558.32

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Solution

The fourth proportional to 972.32, 1,341.68 and 558.32 is: 770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.32 : 1,341.68 = 558.32 : x
  2. Step 2: Convert to fraction form
    972.32/1,341.68 = 558.32/x
  3. Step 3: Cross multiply
    972.32x = 1,341.68 × 558.32
  4. Step 4: Simplify right side
    972.32x = 749,086.78
  5. Step 5: Solve for x
    x = 749,086.78/972.32
  6. Step 6: Final answer
    x = 770.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.