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Finding the Fourth Proportional to 1,202.71, 1,803.63 and 462.15

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Solution

The fourth proportional to 1,202.71, 1,803.63 and 462.15 is: 693.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.71 : 1,803.63 = 462.15 : x
  2. Step 2: Convert to fraction form
    1,202.71/1,803.63 = 462.15/x
  3. Step 3: Cross multiply
    1,202.71x = 1,803.63 × 462.15
  4. Step 4: Simplify right side
    1,202.71x = 833,545.29
  5. Step 5: Solve for x
    x = 833,545.29/1,202.71
  6. Step 6: Final answer
    x = 693.06

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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.