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Finding the Fourth Proportional to 949.78, 1,310.64 and 530.19

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Solution

The fourth proportional to 949.78, 1,310.64 and 530.19 is: 731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.78 : 1,310.64 = 530.19 : x
  2. Step 2: Convert to fraction form
    949.78/1,310.64 = 530.19/x
  3. Step 3: Cross multiply
    949.78x = 1,310.64 × 530.19
  4. Step 4: Simplify right side
    949.78x = 694,888.22
  5. Step 5: Solve for x
    x = 694,888.22/949.78
  6. Step 6: Final answer
    x = 731.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.