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Finding the Fourth Proportional to 1,345.50, 2,019.02 and 729.20

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Solution

The fourth proportional to 1,345.50, 2,019.02 and 729.20 is: 1,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.50 : 2,019.02 = 729.20 : x
  2. Step 2: Convert to fraction form
    1,345.50/2,019.02 = 729.20/x
  3. Step 3: Cross multiply
    1,345.50x = 2,019.02 × 729.20
  4. Step 4: Simplify right side
    1,345.50x = 1,472,269.38
  5. Step 5: Solve for x
    x = 1,472,269.38/1,345.50
  6. Step 6: Final answer
    x = 1,094.22

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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.