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Finding the Fourth Proportional to 783.64, 1,175.58 and 315.11

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Solution

The fourth proportional to 783.64, 1,175.58 and 315.11 is: 472.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.64 : 1,175.58 = 315.11 : x
  2. Step 2: Convert to fraction form
    783.64/1,175.58 = 315.11/x
  3. Step 3: Cross multiply
    783.64x = 1,175.58 × 315.11
  4. Step 4: Simplify right side
    783.64x = 370,437.80
  5. Step 5: Solve for x
    x = 370,437.80/783.64
  6. Step 6: Final answer
    x = 472.72

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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.