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Finding the Fourth Proportional to 1,053.22, 1,454.06 and 699.62

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Solution

The fourth proportional to 1,053.22, 1,454.06 and 699.62 is: 965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.22 : 1,454.06 = 699.62 : x
  2. Step 2: Convert to fraction form
    1,053.22/1,454.06 = 699.62/x
  3. Step 3: Cross multiply
    1,053.22x = 1,454.06 × 699.62
  4. Step 4: Simplify right side
    1,053.22x = 1,017,289.46
  5. Step 5: Solve for x
    x = 1,017,289.46/1,053.22
  6. Step 6: Final answer
    x = 965.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.