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Finding the Fourth Proportional to 1,334, 2,000.98 and 360.10

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Solution

The fourth proportional to 1,334, 2,000.98 and 360.10 is: 540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334 : 2,000.98 = 360.10 : x
  2. Step 2: Convert to fraction form
    1,334/2,000.98 = 360.10/x
  3. Step 3: Cross multiply
    1,334x = 2,000.98 × 360.10
  4. Step 4: Simplify right side
    1,334x = 720,552.90
  5. Step 5: Solve for x
    x = 720,552.90/1,334
  6. Step 6: Final answer
    x = 540.14

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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.