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Finding the Fourth Proportional to 1,119.78, 1,545.40 and 647.76

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Solution

The fourth proportional to 1,119.78, 1,545.40 and 647.76 is: 893.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.78 : 1,545.40 = 647.76 : x
  2. Step 2: Convert to fraction form
    1,119.78/1,545.40 = 647.76/x
  3. Step 3: Cross multiply
    1,119.78x = 1,545.40 × 647.76
  4. Step 4: Simplify right side
    1,119.78x = 1,001,048.30
  5. Step 5: Solve for x
    x = 1,001,048.30/1,119.78
  6. Step 6: Final answer
    x = 893.97

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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.