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Finding the Fourth Proportional to 1,285.68, 1,928.67 and 592.38

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Solution

The fourth proportional to 1,285.68, 1,928.67 and 592.38 is: 888.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.68 : 1,928.67 = 592.38 : x
  2. Step 2: Convert to fraction form
    1,285.68/1,928.67 = 592.38/x
  3. Step 3: Cross multiply
    1,285.68x = 1,928.67 × 592.38
  4. Step 4: Simplify right side
    1,285.68x = 1,142,505.53
  5. Step 5: Solve for x
    x = 1,142,505.53/1,285.68
  6. Step 6: Final answer
    x = 888.64

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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.