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Finding the Fourth Proportional to 913.63, 1,260.42 and 594.49

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Solution

The fourth proportional to 913.63, 1,260.42 and 594.49 is: 820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.63 : 1,260.42 = 594.49 : x
  2. Step 2: Convert to fraction form
    913.63/1,260.42 = 594.49/x
  3. Step 3: Cross multiply
    913.63x = 1,260.42 × 594.49
  4. Step 4: Simplify right side
    913.63x = 749,307.09
  5. Step 5: Solve for x
    x = 749,307.09/913.63
  6. Step 6: Final answer
    x = 820.14

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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.