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Finding the Fourth Proportional to 926.76, 1,390.05 and 379.38

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Solution

The fourth proportional to 926.76, 1,390.05 and 379.38 is: 569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.76 : 1,390.05 = 379.38 : x
  2. Step 2: Convert to fraction form
    926.76/1,390.05 = 379.38/x
  3. Step 3: Cross multiply
    926.76x = 1,390.05 × 379.38
  4. Step 4: Simplify right side
    926.76x = 527,357.17
  5. Step 5: Solve for x
    x = 527,357.17/926.76
  6. Step 6: Final answer
    x = 569.03

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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.