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Finding the Fourth Proportional to 1,149.04, 1,715.77 and 902.80

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Solution

The fourth proportional to 1,149.04, 1,715.77 and 902.80 is: 1,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.04 : 1,715.77 = 902.80 : x
  2. Step 2: Convert to fraction form
    1,149.04/1,715.77 = 902.80/x
  3. Step 3: Cross multiply
    1,149.04x = 1,715.77 × 902.80
  4. Step 4: Simplify right side
    1,149.04x = 1,548,997.16
  5. Step 5: Solve for x
    x = 1,548,997.16/1,149.04
  6. Step 6: Final answer
    x = 1,348.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.