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Finding the Fourth Proportional to 677.77, 934.10 and 511.58

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Solution

The fourth proportional to 677.77, 934.10 and 511.58 is: 705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.77 : 934.10 = 511.58 : x
  2. Step 2: Convert to fraction form
    677.77/934.10 = 511.58/x
  3. Step 3: Cross multiply
    677.77x = 934.10 × 511.58
  4. Step 4: Simplify right side
    677.77x = 477,868.57
  5. Step 5: Solve for x
    x = 477,868.57/677.77
  6. Step 6: Final answer
    x = 705.06

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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.