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Finding the Fourth Proportional to 913.01, 1,259.78 and 514.64

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Solution

The fourth proportional to 913.01, 1,259.78 and 514.64 is: 710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.01 : 1,259.78 = 514.64 : x
  2. Step 2: Convert to fraction form
    913.01/1,259.78 = 514.64/x
  3. Step 3: Cross multiply
    913.01x = 1,259.78 × 514.64
  4. Step 4: Simplify right side
    913.01x = 648,333.18
  5. Step 5: Solve for x
    x = 648,333.18/913.01
  6. Step 6: Final answer
    x = 710.11

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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.