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Finding the Fourth Proportional to 913.84, 1,261.08 and 559.64

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Solution

The fourth proportional to 913.84, 1,261.08 and 559.64 is: 772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.84 : 1,261.08 = 559.64 : x
  2. Step 2: Convert to fraction form
    913.84/1,261.08 = 559.64/x
  3. Step 3: Cross multiply
    913.84x = 1,261.08 × 559.64
  4. Step 4: Simplify right side
    913.84x = 705,750.81
  5. Step 5: Solve for x
    x = 705,750.81/913.84
  6. Step 6: Final answer
    x = 772.29

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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.