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Finding the Fourth Proportional to 783.64, 1,175.10 and 296.38

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Solution

The fourth proportional to 783.64, 1,175.10 and 296.38 is: 444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.64 : 1,175.10 = 296.38 : x
  2. Step 2: Convert to fraction form
    783.64/1,175.10 = 296.38/x
  3. Step 3: Cross multiply
    783.64x = 1,175.10 × 296.38
  4. Step 4: Simplify right side
    783.64x = 348,276.14
  5. Step 5: Solve for x
    x = 348,276.14/783.64
  6. Step 6: Final answer
    x = 444.43

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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.