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Finding the Fourth Proportional to 1,164.48, 1,746.14 and 677.66

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Solution

The fourth proportional to 1,164.48, 1,746.14 and 677.66 is: 1,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.48 : 1,746.14 = 677.66 : x
  2. Step 2: Convert to fraction form
    1,164.48/1,746.14 = 677.66/x
  3. Step 3: Cross multiply
    1,164.48x = 1,746.14 × 677.66
  4. Step 4: Simplify right side
    1,164.48x = 1,183,289.23
  5. Step 5: Solve for x
    x = 1,183,289.23/1,164.48
  6. Step 6: Final answer
    x = 1,016.15

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Why These Related Problems?

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