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Finding the Fourth Proportional to 935.18, 1,402.77 and 909.26

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Solution

The fourth proportional to 935.18, 1,402.77 and 909.26 is: 1,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.18 : 1,402.77 = 909.26 : x
  2. Step 2: Convert to fraction form
    935.18/1,402.77 = 909.26/x
  3. Step 3: Cross multiply
    935.18x = 1,402.77 × 909.26
  4. Step 4: Simplify right side
    935.18x = 1,275,475.64
  5. Step 5: Solve for x
    x = 1,275,475.64/935.18
  6. Step 6: Final answer
    x = 1,363.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.