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Finding the Fourth Proportional to 765.86, 1,058.60 and 546.68

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Solution

The fourth proportional to 765.86, 1,058.60 and 546.68 is: 755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.86 : 1,058.60 = 546.68 : x
  2. Step 2: Convert to fraction form
    765.86/1,058.60 = 546.68/x
  3. Step 3: Cross multiply
    765.86x = 1,058.60 × 546.68
  4. Step 4: Simplify right side
    765.86x = 578,719.46
  5. Step 5: Solve for x
    x = 578,719.46/765.86
  6. Step 6: Final answer
    x = 755.65

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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.