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Finding the Fourth Proportional to 723.42, 1,002.33 and 705.60

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Solution

The fourth proportional to 723.42, 1,002.33 and 705.60 is: 977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.42 : 1,002.33 = 705.60 : x
  2. Step 2: Convert to fraction form
    723.42/1,002.33 = 705.60/x
  3. Step 3: Cross multiply
    723.42x = 1,002.33 × 705.60
  4. Step 4: Simplify right side
    723.42x = 707,244.05
  5. Step 5: Solve for x
    x = 707,244.05/723.42
  6. Step 6: Final answer
    x = 977.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.