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Finding the Fourth Proportional to 710.78, 981.36 and 580.10

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Solution

The fourth proportional to 710.78, 981.36 and 580.10 is: 800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.78 : 981.36 = 580.10 : x
  2. Step 2: Convert to fraction form
    710.78/981.36 = 580.10/x
  3. Step 3: Cross multiply
    710.78x = 981.36 × 580.10
  4. Step 4: Simplify right side
    710.78x = 569,286.94
  5. Step 5: Solve for x
    x = 569,286.94/710.78
  6. Step 6: Final answer
    x = 800.93

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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.