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Finding the Fourth Proportional to 1,015.29, 1,522.94 and 459.70

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Solution

The fourth proportional to 1,015.29, 1,522.94 and 459.70 is: 689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.29 : 1,522.94 = 459.70 : x
  2. Step 2: Convert to fraction form
    1,015.29/1,522.94 = 459.70/x
  3. Step 3: Cross multiply
    1,015.29x = 1,522.94 × 459.70
  4. Step 4: Simplify right side
    1,015.29x = 700,089.41
  5. Step 5: Solve for x
    x = 700,089.41/1,015.29
  6. Step 6: Final answer
    x = 689.55

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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.