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Finding the Fourth Proportional to 1,119.80, 1,545.09 and 654.05

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Solution

The fourth proportional to 1,119.80, 1,545.09 and 654.05 is: 902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.80 : 1,545.09 = 654.05 : x
  2. Step 2: Convert to fraction form
    1,119.80/1,545.09 = 654.05/x
  3. Step 3: Cross multiply
    1,119.80x = 1,545.09 × 654.05
  4. Step 4: Simplify right side
    1,119.80x = 1,010,566.11
  5. Step 5: Solve for x
    x = 1,010,566.11/1,119.80
  6. Step 6: Final answer
    x = 902.45

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.