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Finding the Fourth Proportional to 1,337.04, 2,007 and 1,066.32

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Solution

The fourth proportional to 1,337.04, 2,007 and 1,066.32 is: 1,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.04 : 2,007 = 1,066.32 : x
  2. Step 2: Convert to fraction form
    1,337.04/2,007 = 1,066.32/x
  3. Step 3: Cross multiply
    1,337.04x = 2,007 × 1,066.32
  4. Step 4: Simplify right side
    1,337.04x = 2,140,104.24
  5. Step 5: Solve for x
    x = 2,140,104.24/1,337.04
  6. Step 6: Final answer
    x = 1,600.63

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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.