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Finding the Fourth Proportional to 1,588.01, 2,381.81 and 766.06

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Solution

The fourth proportional to 1,588.01, 2,381.81 and 766.06 is: 1,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.01 : 2,381.81 = 766.06 : x
  2. Step 2: Convert to fraction form
    1,588.01/2,381.81 = 766.06/x
  3. Step 3: Cross multiply
    1,588.01x = 2,381.81 × 766.06
  4. Step 4: Simplify right side
    1,588.01x = 1,824,599.58
  5. Step 5: Solve for x
    x = 1,824,599.58/1,588.01
  6. Step 6: Final answer
    x = 1,148.99

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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.