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Finding the Fourth Proportional to 913.39, 1,260.43 and 564.01

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Solution

The fourth proportional to 913.39, 1,260.43 and 564.01 is: 778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.39 : 1,260.43 = 564.01 : x
  2. Step 2: Convert to fraction form
    913.39/1,260.43 = 564.01/x
  3. Step 3: Cross multiply
    913.39x = 1,260.43 × 564.01
  4. Step 4: Simplify right side
    913.39x = 710,895.12
  5. Step 5: Solve for x
    x = 710,895.12/913.39
  6. Step 6: Final answer
    x = 778.30

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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.