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Finding the Fourth Proportional to 783.92, 1,175.70 and 296.84

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Solution

The fourth proportional to 783.92, 1,175.70 and 296.84 is: 445.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.92 : 1,175.70 = 296.84 : x
  2. Step 2: Convert to fraction form
    783.92/1,175.70 = 296.84/x
  3. Step 3: Cross multiply
    783.92x = 1,175.70 × 296.84
  4. Step 4: Simplify right side
    783.92x = 348,994.79
  5. Step 5: Solve for x
    x = 348,994.79/783.92
  6. Step 6: Final answer
    x = 445.19

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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.