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Finding the Fourth Proportional to 1,313.30, 1,970.21 and 582.88

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Solution

The fourth proportional to 1,313.30, 1,970.21 and 582.88 is: 874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.30 : 1,970.21 = 582.88 : x
  2. Step 2: Convert to fraction form
    1,313.30/1,970.21 = 582.88/x
  3. Step 3: Cross multiply
    1,313.30x = 1,970.21 × 582.88
  4. Step 4: Simplify right side
    1,313.30x = 1,148,396.00
  5. Step 5: Solve for x
    x = 1,148,396.00/1,313.30
  6. Step 6: Final answer
    x = 874.44

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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.