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Finding the Fourth Proportional to 1,017.01, 1,403.26 and 597.43

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Solution

The fourth proportional to 1,017.01, 1,403.26 and 597.43 is: 824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.01 : 1,403.26 = 597.43 : x
  2. Step 2: Convert to fraction form
    1,017.01/1,403.26 = 597.43/x
  3. Step 3: Cross multiply
    1,017.01x = 1,403.26 × 597.43
  4. Step 4: Simplify right side
    1,017.01x = 838,349.62
  5. Step 5: Solve for x
    x = 838,349.62/1,017.01
  6. Step 6: Final answer
    x = 824.33

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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.