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Finding the Fourth Proportional to 1,017.35, 1,403.92 and 597.62

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Solution

The fourth proportional to 1,017.35, 1,403.92 and 597.62 is: 824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.35 : 1,403.92 = 597.62 : x
  2. Step 2: Convert to fraction form
    1,017.35/1,403.92 = 597.62/x
  3. Step 3: Cross multiply
    1,017.35x = 1,403.92 × 597.62
  4. Step 4: Simplify right side
    1,017.35x = 839,014.93
  5. Step 5: Solve for x
    x = 839,014.93/1,017.35
  6. Step 6: Final answer
    x = 824.71

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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.