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Finding the Fourth Proportional to 865.17, 1,193.49 and 585.03

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Solution

The fourth proportional to 865.17, 1,193.49 and 585.03 is: 807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.17 : 1,193.49 = 585.03 : x
  2. Step 2: Convert to fraction form
    865.17/1,193.49 = 585.03/x
  3. Step 3: Cross multiply
    865.17x = 1,193.49 × 585.03
  4. Step 4: Simplify right side
    865.17x = 698,227.45
  5. Step 5: Solve for x
    x = 698,227.45/865.17
  6. Step 6: Final answer
    x = 807.04

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Double scale
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1.5x scale

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.