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Finding the Fourth Proportional to 1,014.48, 1,522.58 and 398.61

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Solution

The fourth proportional to 1,014.48, 1,522.58 and 398.61 is: 598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.48 : 1,522.58 = 398.61 : x
  2. Step 2: Convert to fraction form
    1,014.48/1,522.58 = 398.61/x
  3. Step 3: Cross multiply
    1,014.48x = 1,522.58 × 398.61
  4. Step 4: Simplify right side
    1,014.48x = 606,917.60
  5. Step 5: Solve for x
    x = 606,917.60/1,014.48
  6. Step 6: Final answer
    x = 598.26

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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.