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Finding the Fourth Proportional to 928.19, 1,391.48 and 465.32

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Solution

The fourth proportional to 928.19, 1,391.48 and 465.32 is: 697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.19 : 1,391.48 = 465.32 : x
  2. Step 2: Convert to fraction form
    928.19/1,391.48 = 465.32/x
  3. Step 3: Cross multiply
    928.19x = 1,391.48 × 465.32
  4. Step 4: Simplify right side
    928.19x = 647,486.37
  5. Step 5: Solve for x
    x = 647,486.37/928.19
  6. Step 6: Final answer
    x = 697.58

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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.