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Finding the Fourth Proportional to 712.69, 1,068.54 and 347.77

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Solution

The fourth proportional to 712.69, 1,068.54 and 347.77 is: 521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.69 : 1,068.54 = 347.77 : x
  2. Step 2: Convert to fraction form
    712.69/1,068.54 = 347.77/x
  3. Step 3: Cross multiply
    712.69x = 1,068.54 × 347.77
  4. Step 4: Simplify right side
    712.69x = 371,606.16
  5. Step 5: Solve for x
    x = 371,606.16/712.69
  6. Step 6: Final answer
    x = 521.41

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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.