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Finding the Fourth Proportional to 1,023.13, 1,535.03 and 407.01

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Solution

The fourth proportional to 1,023.13, 1,535.03 and 407.01 is: 610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.13 : 1,535.03 = 407.01 : x
  2. Step 2: Convert to fraction form
    1,023.13/1,535.03 = 407.01/x
  3. Step 3: Cross multiply
    1,023.13x = 1,535.03 × 407.01
  4. Step 4: Simplify right side
    1,023.13x = 624,772.56
  5. Step 5: Solve for x
    x = 624,772.56/1,023.13
  6. Step 6: Final answer
    x = 610.65

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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.