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Finding the Fourth Proportional to 1,285.93, 1,927.35 and 591.64

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Solution

The fourth proportional to 1,285.93, 1,927.35 and 591.64 is: 886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.93 : 1,927.35 = 591.64 : x
  2. Step 2: Convert to fraction form
    1,285.93/1,927.35 = 591.64/x
  3. Step 3: Cross multiply
    1,285.93x = 1,927.35 × 591.64
  4. Step 4: Simplify right side
    1,285.93x = 1,140,303.65
  5. Step 5: Solve for x
    x = 1,140,303.65/1,285.93
  6. Step 6: Final answer
    x = 886.75

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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.