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Finding the Fourth Proportional to 1,434.88, 2,152.68 and 613.56

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Solution

The fourth proportional to 1,434.88, 2,152.68 and 613.56 is: 920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.88 : 2,152.68 = 613.56 : x
  2. Step 2: Convert to fraction form
    1,434.88/2,152.68 = 613.56/x
  3. Step 3: Cross multiply
    1,434.88x = 2,152.68 × 613.56
  4. Step 4: Simplify right side
    1,434.88x = 1,320,798.34
  5. Step 5: Solve for x
    x = 1,320,798.34/1,434.88
  6. Step 6: Final answer
    x = 920.49

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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.