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Finding the Fourth Proportional to 1,535.76, 2,304.06 and 440.16

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Solution

The fourth proportional to 1,535.76, 2,304.06 and 440.16 is: 660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.76 : 2,304.06 = 440.16 : x
  2. Step 2: Convert to fraction form
    1,535.76/2,304.06 = 440.16/x
  3. Step 3: Cross multiply
    1,535.76x = 2,304.06 × 440.16
  4. Step 4: Simplify right side
    1,535.76x = 1,014,155.05
  5. Step 5: Solve for x
    x = 1,014,155.05/1,535.76
  6. Step 6: Final answer
    x = 660.36

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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.