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Finding the Fourth Proportional to 926.13, 1,389.50 and 378.57

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Solution

The fourth proportional to 926.13, 1,389.50 and 378.57 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.13 : 1,389.50 = 378.57 : x
  2. Step 2: Convert to fraction form
    926.13/1,389.50 = 378.57/x
  3. Step 3: Cross multiply
    926.13x = 1,389.50 × 378.57
  4. Step 4: Simplify right side
    926.13x = 526,021.12
  5. Step 5: Solve for x
    x = 526,021.12/926.13
  6. Step 6: Final answer
    x = 567.98

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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.