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Finding the Fourth Proportional to 926.61, 1,389.99 and 378.84

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Solution

The fourth proportional to 926.61, 1,389.99 and 378.84 is: 568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.61 : 1,389.99 = 378.84 : x
  2. Step 2: Convert to fraction form
    926.61/1,389.99 = 378.84/x
  3. Step 3: Cross multiply
    926.61x = 1,389.99 × 378.84
  4. Step 4: Simplify right side
    926.61x = 526,583.81
  5. Step 5: Solve for x
    x = 526,583.81/926.61
  6. Step 6: Final answer
    x = 568.29

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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.