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Finding the Fourth Proportional to 913.10, 1,259.36 and 598.02

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Solution

The fourth proportional to 913.10, 1,259.36 and 598.02 is: 824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.10 : 1,259.36 = 598.02 : x
  2. Step 2: Convert to fraction form
    913.10/1,259.36 = 598.02/x
  3. Step 3: Cross multiply
    913.10x = 1,259.36 × 598.02
  4. Step 4: Simplify right side
    913.10x = 753,122.47
  5. Step 5: Solve for x
    x = 753,122.47/913.10
  6. Step 6: Final answer
    x = 824.80

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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.