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Finding the Fourth Proportional to 926.47, 1,389.43 and 580.33

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Solution

The fourth proportional to 926.47, 1,389.43 and 580.33 is: 870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.47 : 1,389.43 = 580.33 : x
  2. Step 2: Convert to fraction form
    926.47/1,389.43 = 580.33/x
  3. Step 3: Cross multiply
    926.47x = 1,389.43 × 580.33
  4. Step 4: Simplify right side
    926.47x = 806,327.91
  5. Step 5: Solve for x
    x = 806,327.91/926.47
  6. Step 6: Final answer
    x = 870.32

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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.