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Finding the Fourth Proportional to 1,588.02, 2,380.64 and 806.93

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Solution

The fourth proportional to 1,588.02, 2,380.64 and 806.93 is: 1,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.02 : 2,380.64 = 806.93 : x
  2. Step 2: Convert to fraction form
    1,588.02/2,380.64 = 806.93/x
  3. Step 3: Cross multiply
    1,588.02x = 2,380.64 × 806.93
  4. Step 4: Simplify right side
    1,588.02x = 1,921,009.84
  5. Step 5: Solve for x
    x = 1,921,009.84/1,588.02
  6. Step 6: Final answer
    x = 1,209.69

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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.