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Finding the Fourth Proportional to 908.10, 1,253.04 and 515.05

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Solution

The fourth proportional to 908.10, 1,253.04 and 515.05 is: 710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.10 : 1,253.04 = 515.05 : x
  2. Step 2: Convert to fraction form
    908.10/1,253.04 = 515.05/x
  3. Step 3: Cross multiply
    908.10x = 1,253.04 × 515.05
  4. Step 4: Simplify right side
    908.10x = 645,373.19
  5. Step 5: Solve for x
    x = 645,373.19/908.10
  6. Step 6: Final answer
    x = 710.69

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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.