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Finding the Fourth Proportional to 1,110.47, 1,664.76 and 677.93

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Solution

The fourth proportional to 1,110.47, 1,664.76 and 677.93 is: 1,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.47 : 1,664.76 = 677.93 : x
  2. Step 2: Convert to fraction form
    1,110.47/1,664.76 = 677.93/x
  3. Step 3: Cross multiply
    1,110.47x = 1,664.76 × 677.93
  4. Step 4: Simplify right side
    1,110.47x = 1,128,590.75
  5. Step 5: Solve for x
    x = 1,128,590.75/1,110.47
  6. Step 6: Final answer
    x = 1,016.32

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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.