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Finding the Fourth Proportional to 928.58, 1,393.85 and 907.66

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Solution

The fourth proportional to 928.58, 1,393.85 and 907.66 is: 1,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.58 : 1,393.85 = 907.66 : x
  2. Step 2: Convert to fraction form
    928.58/1,393.85 = 907.66/x
  3. Step 3: Cross multiply
    928.58x = 1,393.85 × 907.66
  4. Step 4: Simplify right side
    928.58x = 1,265,141.89
  5. Step 5: Solve for x
    x = 1,265,141.89/928.58
  6. Step 6: Final answer
    x = 1,362.45

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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.