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Finding the Fourth Proportional to 865.13, 1,298.08 and 454.17

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Solution

The fourth proportional to 865.13, 1,298.08 and 454.17 is: 681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.13 : 1,298.08 = 454.17 : x
  2. Step 2: Convert to fraction form
    865.13/1,298.08 = 454.17/x
  3. Step 3: Cross multiply
    865.13x = 1,298.08 × 454.17
  4. Step 4: Simplify right side
    865.13x = 589,548.99
  5. Step 5: Solve for x
    x = 589,548.99/865.13
  6. Step 6: Final answer
    x = 681.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.