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Finding the Fourth Proportional to 1,023.40, 1,535.10 and 365.32

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Solution

The fourth proportional to 1,023.40, 1,535.10 and 365.32 is: 547.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.40 : 1,535.10 = 365.32 : x
  2. Step 2: Convert to fraction form
    1,023.40/1,535.10 = 365.32/x
  3. Step 3: Cross multiply
    1,023.40x = 1,535.10 × 365.32
  4. Step 4: Simplify right side
    1,023.40x = 560,802.73
  5. Step 5: Solve for x
    x = 560,802.73/1,023.40
  6. Step 6: Final answer
    x = 547.98

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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.