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Finding the Fourth Proportional to 1,350.39, 1,864.17 and 903.45

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Solution

The fourth proportional to 1,350.39, 1,864.17 and 903.45 is: 1,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.39 : 1,864.17 = 903.45 : x
  2. Step 2: Convert to fraction form
    1,350.39/1,864.17 = 903.45/x
  3. Step 3: Cross multiply
    1,350.39x = 1,864.17 × 903.45
  4. Step 4: Simplify right side
    1,350.39x = 1,684,184.39
  5. Step 5: Solve for x
    x = 1,684,184.39/1,350.39
  6. Step 6: Final answer
    x = 1,247.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.