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Finding the Fourth Proportional to 1,119.74, 1,545.39 and 647.54

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Solution

The fourth proportional to 1,119.74, 1,545.39 and 647.54 is: 893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.74 : 1,545.39 = 647.54 : x
  2. Step 2: Convert to fraction form
    1,119.74/1,545.39 = 647.54/x
  3. Step 3: Cross multiply
    1,119.74x = 1,545.39 × 647.54
  4. Step 4: Simplify right side
    1,119.74x = 1,000,694.11
  5. Step 5: Solve for x
    x = 1,000,694.11/1,119.74
  6. Step 6: Final answer
    x = 893.69

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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.