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Finding the Fourth Proportional to 1,526.14, 2,287.79 and 601.71

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Solution

The fourth proportional to 1,526.14, 2,287.79 and 601.71 is: 902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.14 : 2,287.79 = 601.71 : x
  2. Step 2: Convert to fraction form
    1,526.14/2,287.79 = 601.71/x
  3. Step 3: Cross multiply
    1,526.14x = 2,287.79 × 601.71
  4. Step 4: Simplify right side
    1,526.14x = 1,376,593.04
  5. Step 5: Solve for x
    x = 1,376,593.04/1,526.14
  6. Step 6: Final answer
    x = 902.01

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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.