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Finding the Fourth Proportional to 1,014.66, 1,522.05 and 527.10

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Solution

The fourth proportional to 1,014.66, 1,522.05 and 527.10 is: 790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.66 : 1,522.05 = 527.10 : x
  2. Step 2: Convert to fraction form
    1,014.66/1,522.05 = 527.10/x
  3. Step 3: Cross multiply
    1,014.66x = 1,522.05 × 527.10
  4. Step 4: Simplify right side
    1,014.66x = 802,272.56
  5. Step 5: Solve for x
    x = 802,272.56/1,014.66
  6. Step 6: Final answer
    x = 790.68

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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.