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Finding the Fourth Proportional to 935.43, 1,403.14 and 909.51

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Solution

The fourth proportional to 935.43, 1,403.14 and 909.51 is: 1,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.43 : 1,403.14 = 909.51 : x
  2. Step 2: Convert to fraction form
    935.43/1,403.14 = 909.51/x
  3. Step 3: Cross multiply
    935.43x = 1,403.14 × 909.51
  4. Step 4: Simplify right side
    935.43x = 1,276,169.86
  5. Step 5: Solve for x
    x = 1,276,169.86/935.43
  6. Step 6: Final answer
    x = 1,364.26

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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.