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Finding the Fourth Proportional to 1,014.70, 1,522.69 and 649.74

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Solution

The fourth proportional to 1,014.70, 1,522.69 and 649.74 is: 975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.70 : 1,522.69 = 649.74 : x
  2. Step 2: Convert to fraction form
    1,014.70/1,522.69 = 649.74/x
  3. Step 3: Cross multiply
    1,014.70x = 1,522.69 × 649.74
  4. Step 4: Simplify right side
    1,014.70x = 989,352.60
  5. Step 5: Solve for x
    x = 989,352.60/1,014.70
  6. Step 6: Final answer
    x = 975.02

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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.