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Finding the Fourth Proportional to 966.40, 1,333.64 and 524.32

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Solution

The fourth proportional to 966.40, 1,333.64 and 524.32 is: 723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.40 : 1,333.64 = 524.32 : x
  2. Step 2: Convert to fraction form
    966.40/1,333.64 = 524.32/x
  3. Step 3: Cross multiply
    966.40x = 1,333.64 × 524.32
  4. Step 4: Simplify right side
    966.40x = 699,254.12
  5. Step 5: Solve for x
    x = 699,254.12/966.40
  6. Step 6: Final answer
    x = 723.57

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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.