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Finding the Fourth Proportional to 865.47, 1,298.21 and 522.75

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Solution

The fourth proportional to 865.47, 1,298.21 and 522.75 is: 784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.47 : 1,298.21 = 522.75 : x
  2. Step 2: Convert to fraction form
    865.47/1,298.21 = 522.75/x
  3. Step 3: Cross multiply
    865.47x = 1,298.21 × 522.75
  4. Step 4: Simplify right side
    865.47x = 678,636.66
  5. Step 5: Solve for x
    x = 678,636.66/865.47
  6. Step 6: Final answer
    x = 784.13

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