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Finding the Fourth Proportional to 927.90, 1,389.09 and 561.58

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Solution

The fourth proportional to 927.90, 1,389.09 and 561.58 is: 840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.90 : 1,389.09 = 561.58 : x
  2. Step 2: Convert to fraction form
    927.90/1,389.09 = 561.58/x
  3. Step 3: Cross multiply
    927.90x = 1,389.09 × 561.58
  4. Step 4: Simplify right side
    927.90x = 780,085.16
  5. Step 5: Solve for x
    x = 780,085.16/927.90
  6. Step 6: Final answer
    x = 840.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.