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Finding the Fourth Proportional to 1,285.17, 1,928.55 and 591.93

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Solution

The fourth proportional to 1,285.17, 1,928.55 and 591.93 is: 888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.17 : 1,928.55 = 591.93 : x
  2. Step 2: Convert to fraction form
    1,285.17/1,928.55 = 591.93/x
  3. Step 3: Cross multiply
    1,285.17x = 1,928.55 × 591.93
  4. Step 4: Simplify right side
    1,285.17x = 1,141,570.08
  5. Step 5: Solve for x
    x = 1,141,570.08/1,285.17
  6. Step 6: Final answer
    x = 888.27

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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.