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Finding the Fourth Proportional to 1,319.02, 1,978.26 and 588.13

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Solution

The fourth proportional to 1,319.02, 1,978.26 and 588.13 is: 882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.02 : 1,978.26 = 588.13 : x
  2. Step 2: Convert to fraction form
    1,319.02/1,978.26 = 588.13/x
  3. Step 3: Cross multiply
    1,319.02x = 1,978.26 × 588.13
  4. Step 4: Simplify right side
    1,319.02x = 1,163,466.90
  5. Step 5: Solve for x
    x = 1,163,466.90/1,319.02
  6. Step 6: Final answer
    x = 882.07

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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.