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Finding the Fourth Proportional to 1,319.62, 1,977.84 and 588.36

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Solution

The fourth proportional to 1,319.62, 1,977.84 and 588.36 is: 881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.62 : 1,977.84 = 588.36 : x
  2. Step 2: Convert to fraction form
    1,319.62/1,977.84 = 588.36/x
  3. Step 3: Cross multiply
    1,319.62x = 1,977.84 × 588.36
  4. Step 4: Simplify right side
    1,319.62x = 1,163,681.94
  5. Step 5: Solve for x
    x = 1,163,681.94/1,319.62
  6. Step 6: Final answer
    x = 881.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.