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Finding the Fourth Proportional to 1,318.20, 1,973.70 and 1,030.20

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Solution

The fourth proportional to 1,318.20, 1,973.70 and 1,030.20 is: 1,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.20 : 1,973.70 = 1,030.20 : x
  2. Step 2: Convert to fraction form
    1,318.20/1,973.70 = 1,030.20/x
  3. Step 3: Cross multiply
    1,318.20x = 1,973.70 × 1,030.20
  4. Step 4: Simplify right side
    1,318.20x = 2,033,305.74
  5. Step 5: Solve for x
    x = 2,033,305.74/1,318.20
  6. Step 6: Final answer
    x = 1,542.49

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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.