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Finding the Fourth Proportional to 676.47, 934.53 and 536.13

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Solution

The fourth proportional to 676.47, 934.53 and 536.13 is: 740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.47 : 934.53 = 536.13 : x
  2. Step 2: Convert to fraction form
    676.47/934.53 = 536.13/x
  3. Step 3: Cross multiply
    676.47x = 934.53 × 536.13
  4. Step 4: Simplify right side
    676.47x = 501,029.57
  5. Step 5: Solve for x
    x = 501,029.57/676.47
  6. Step 6: Final answer
    x = 740.65

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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.