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Finding the Fourth Proportional to 1,333.90, 2,000.95 and 360.01

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Solution

The fourth proportional to 1,333.90, 2,000.95 and 360.01 is: 540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.90 : 2,000.95 = 360.01 : x
  2. Step 2: Convert to fraction form
    1,333.90/2,000.95 = 360.01/x
  3. Step 3: Cross multiply
    1,333.90x = 2,000.95 × 360.01
  4. Step 4: Simplify right side
    1,333.90x = 720,356.11
  5. Step 5: Solve for x
    x = 720,356.11/1,333.90
  6. Step 6: Final answer
    x = 540.04

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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.