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Finding the Fourth Proportional to 913.44, 1,260.55 and 520.47

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Solution

The fourth proportional to 913.44, 1,260.55 and 520.47 is: 718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.44 : 1,260.55 = 520.47 : x
  2. Step 2: Convert to fraction form
    913.44/1,260.55 = 520.47/x
  3. Step 3: Cross multiply
    913.44x = 1,260.55 × 520.47
  4. Step 4: Simplify right side
    913.44x = 656,075.86
  5. Step 5: Solve for x
    x = 656,075.86/913.44
  6. Step 6: Final answer
    x = 718.25

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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.