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Finding the Fourth Proportional to 937.84, 1,403.71 and 498.47

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Solution

The fourth proportional to 937.84, 1,403.71 and 498.47 is: 746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.84 : 1,403.71 = 498.47 : x
  2. Step 2: Convert to fraction form
    937.84/1,403.71 = 498.47/x
  3. Step 3: Cross multiply
    937.84x = 1,403.71 × 498.47
  4. Step 4: Simplify right side
    937.84x = 699,707.32
  5. Step 5: Solve for x
    x = 699,707.32/937.84
  6. Step 6: Final answer
    x = 746.08

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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.