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Finding the Fourth Proportional to 1,521.55, 2,281.65 and 699.40

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Solution

The fourth proportional to 1,521.55, 2,281.65 and 699.40 is: 1,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.55 : 2,281.65 = 699.40 : x
  2. Step 2: Convert to fraction form
    1,521.55/2,281.65 = 699.40/x
  3. Step 3: Cross multiply
    1,521.55x = 2,281.65 × 699.40
  4. Step 4: Simplify right side
    1,521.55x = 1,595,786.01
  5. Step 5: Solve for x
    x = 1,595,786.01/1,521.55
  6. Step 6: Final answer
    x = 1,048.79

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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.