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Finding the Fourth Proportional to 1,224.95, 1,838.33 and 763.40

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Solution

The fourth proportional to 1,224.95, 1,838.33 and 763.40 is: 1,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.95 : 1,838.33 = 763.40 : x
  2. Step 2: Convert to fraction form
    1,224.95/1,838.33 = 763.40/x
  3. Step 3: Cross multiply
    1,224.95x = 1,838.33 × 763.40
  4. Step 4: Simplify right side
    1,224.95x = 1,403,373.84
  5. Step 5: Solve for x
    x = 1,403,373.84/1,224.95
  6. Step 6: Final answer
    x = 1,145.66

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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.