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Finding the Fourth Proportional to 1,017.42, 1,403.94 and 575.29

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Solution

The fourth proportional to 1,017.42, 1,403.94 and 575.29 is: 793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.42 : 1,403.94 = 575.29 : x
  2. Step 2: Convert to fraction form
    1,017.42/1,403.94 = 575.29/x
  3. Step 3: Cross multiply
    1,017.42x = 1,403.94 × 575.29
  4. Step 4: Simplify right side
    1,017.42x = 807,672.64
  5. Step 5: Solve for x
    x = 807,672.64/1,017.42
  6. Step 6: Final answer
    x = 793.84

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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.