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Finding the Fourth Proportional to 709.78, 978.06 and 585.04

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Solution

The fourth proportional to 709.78, 978.06 and 585.04 is: 806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.78 : 978.06 = 585.04 : x
  2. Step 2: Convert to fraction form
    709.78/978.06 = 585.04/x
  3. Step 3: Cross multiply
    709.78x = 978.06 × 585.04
  4. Step 4: Simplify right side
    709.78x = 572,204.22
  5. Step 5: Solve for x
    x = 572,204.22/709.78
  6. Step 6: Final answer
    x = 806.17

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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.