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Finding the Fourth Proportional to 781.67, 1,172.16 and 313

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Solution

The fourth proportional to 781.67, 1,172.16 and 313 is: 469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.67 : 1,172.16 = 313 : x
  2. Step 2: Convert to fraction form
    781.67/1,172.16 = 313/x
  3. Step 3: Cross multiply
    781.67x = 1,172.16 × 313
  4. Step 4: Simplify right side
    781.67x = 366,886.08
  5. Step 5: Solve for x
    x = 366,886.08/781.67
  6. Step 6: Final answer
    x = 469.36

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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.