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Finding the Fourth Proportional to 1,319.22, 1,977.62 and 588.40

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Solution

The fourth proportional to 1,319.22, 1,977.62 and 588.40 is: 882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.22 : 1,977.62 = 588.40 : x
  2. Step 2: Convert to fraction form
    1,319.22/1,977.62 = 588.40/x
  3. Step 3: Cross multiply
    1,319.22x = 1,977.62 × 588.40
  4. Step 4: Simplify right side
    1,319.22x = 1,163,623.72
  5. Step 5: Solve for x
    x = 1,163,623.72/1,319.22
  6. Step 6: Final answer
    x = 882.05

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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.