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Finding the Fourth Proportional to 926.96, 1,390.70 and 464.18

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Solution

The fourth proportional to 926.96, 1,390.70 and 464.18 is: 696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.96 : 1,390.70 = 464.18 : x
  2. Step 2: Convert to fraction form
    926.96/1,390.70 = 464.18/x
  3. Step 3: Cross multiply
    926.96x = 1,390.70 × 464.18
  4. Step 4: Simplify right side
    926.96x = 645,525.85
  5. Step 5: Solve for x
    x = 645,525.85/926.96
  6. Step 6: Final answer
    x = 696.39

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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.