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Finding the Fourth Proportional to 1,017.42, 1,403.85 and 575.25

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Solution

The fourth proportional to 1,017.42, 1,403.85 and 575.25 is: 793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.42 : 1,403.85 = 575.25 : x
  2. Step 2: Convert to fraction form
    1,017.42/1,403.85 = 575.25/x
  3. Step 3: Cross multiply
    1,017.42x = 1,403.85 × 575.25
  4. Step 4: Simplify right side
    1,017.42x = 807,564.71
  5. Step 5: Solve for x
    x = 807,564.71/1,017.42
  6. Step 6: Final answer
    x = 793.74

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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.