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Finding the Fourth Proportional to 1,109.48, 1,663.67 and 647.38

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Solution

The fourth proportional to 1,109.48, 1,663.67 and 647.38 is: 970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.48 : 1,663.67 = 647.38 : x
  2. Step 2: Convert to fraction form
    1,109.48/1,663.67 = 647.38/x
  3. Step 3: Cross multiply
    1,109.48x = 1,663.67 × 647.38
  4. Step 4: Simplify right side
    1,109.48x = 1,077,017.38
  5. Step 5: Solve for x
    x = 1,077,017.38/1,109.48
  6. Step 6: Final answer
    x = 970.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.