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Finding the Fourth Proportional to 1,285.02, 1,926.93 and 592.14

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Solution

The fourth proportional to 1,285.02, 1,926.93 and 592.14 is: 887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.02 : 1,926.93 = 592.14 : x
  2. Step 2: Convert to fraction form
    1,285.02/1,926.93 = 592.14/x
  3. Step 3: Cross multiply
    1,285.02x = 1,926.93 × 592.14
  4. Step 4: Simplify right side
    1,285.02x = 1,141,012.33
  5. Step 5: Solve for x
    x = 1,141,012.33/1,285.02
  6. Step 6: Final answer
    x = 887.93

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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.