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Finding the Fourth Proportional to 910.03, 1,254.37 and 614.78

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Solution

The fourth proportional to 910.03, 1,254.37 and 614.78 is: 847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.03 : 1,254.37 = 614.78 : x
  2. Step 2: Convert to fraction form
    910.03/1,254.37 = 614.78/x
  3. Step 3: Cross multiply
    910.03x = 1,254.37 × 614.78
  4. Step 4: Simplify right side
    910.03x = 771,161.59
  5. Step 5: Solve for x
    x = 771,161.59/910.03
  6. Step 6: Final answer
    x = 847.40

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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.