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Finding the Fourth Proportional to 1,285.24, 1,928.50 and 592.40

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Solution

The fourth proportional to 1,285.24, 1,928.50 and 592.40 is: 888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.24 : 1,928.50 = 592.40 : x
  2. Step 2: Convert to fraction form
    1,285.24/1,928.50 = 592.40/x
  3. Step 3: Cross multiply
    1,285.24x = 1,928.50 × 592.40
  4. Step 4: Simplify right side
    1,285.24x = 1,142,438.58
  5. Step 5: Solve for x
    x = 1,142,438.58/1,285.24
  6. Step 6: Final answer
    x = 888.89

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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.