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Finding the Fourth Proportional to 1,109.04, 1,656.03 and 1,006.80

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Solution

The fourth proportional to 1,109.04, 1,656.03 and 1,006.80 is: 1,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.04 : 1,656.03 = 1,006.80 : x
  2. Step 2: Convert to fraction form
    1,109.04/1,656.03 = 1,006.80/x
  3. Step 3: Cross multiply
    1,109.04x = 1,656.03 × 1,006.80
  4. Step 4: Simplify right side
    1,109.04x = 1,667,291.00
  5. Step 5: Solve for x
    x = 1,667,291.00/1,109.04
  6. Step 6: Final answer
    x = 1,503.36

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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.