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Finding the Fourth Proportional to 966.32, 1,333.53 and 524.22

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Solution

The fourth proportional to 966.32, 1,333.53 and 524.22 is: 723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.32 : 1,333.53 = 524.22 : x
  2. Step 2: Convert to fraction form
    966.32/1,333.53 = 524.22/x
  3. Step 3: Cross multiply
    966.32x = 1,333.53 × 524.22
  4. Step 4: Simplify right side
    966.32x = 699,063.10
  5. Step 5: Solve for x
    x = 699,063.10/966.32
  6. Step 6: Final answer
    x = 723.43

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1.5x scale

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.