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Finding the Fourth Proportional to 1,535.68, 2,303.20 and 439.76

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Solution

The fourth proportional to 1,535.68, 2,303.20 and 439.76 is: 659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.68 : 2,303.20 = 439.76 : x
  2. Step 2: Convert to fraction form
    1,535.68/2,303.20 = 439.76/x
  3. Step 3: Cross multiply
    1,535.68x = 2,303.20 × 439.76
  4. Step 4: Simplify right side
    1,535.68x = 1,012,855.23
  5. Step 5: Solve for x
    x = 1,012,855.23/1,535.68
  6. Step 6: Final answer
    x = 659.55

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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.