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Finding the Fourth Proportional to 709.64, 978.45 and 523.10

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Solution

The fourth proportional to 709.64, 978.45 and 523.10 is: 721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.64 : 978.45 = 523.10 : x
  2. Step 2: Convert to fraction form
    709.64/978.45 = 523.10/x
  3. Step 3: Cross multiply
    709.64x = 978.45 × 523.10
  4. Step 4: Simplify right side
    709.64x = 511,827.20
  5. Step 5: Solve for x
    x = 511,827.20/709.64
  6. Step 6: Final answer
    x = 721.25

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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.