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Finding the Fourth Proportional to 1,319.02, 1,977.35 and 588.33

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Solution

The fourth proportional to 1,319.02, 1,977.35 and 588.33 is: 881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.02 : 1,977.35 = 588.33 : x
  2. Step 2: Convert to fraction form
    1,319.02/1,977.35 = 588.33/x
  3. Step 3: Cross multiply
    1,319.02x = 1,977.35 × 588.33
  4. Step 4: Simplify right side
    1,319.02x = 1,163,331.38
  5. Step 5: Solve for x
    x = 1,163,331.38/1,319.02
  6. Step 6: Final answer
    x = 881.97

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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.