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Finding the Fourth Proportional to 709.75, 978.24 and 585.01

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Solution

The fourth proportional to 709.75, 978.24 and 585.01 is: 806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.75 : 978.24 = 585.01 : x
  2. Step 2: Convert to fraction form
    709.75/978.24 = 585.01/x
  3. Step 3: Cross multiply
    709.75x = 978.24 × 585.01
  4. Step 4: Simplify right side
    709.75x = 572,280.18
  5. Step 5: Solve for x
    x = 572,280.18/709.75
  6. Step 6: Final answer
    x = 806.31

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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.