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Finding the Fourth Proportional to 971.30, 1,339.87 and 578.25

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Solution

The fourth proportional to 971.30, 1,339.87 and 578.25 is: 797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.30 : 1,339.87 = 578.25 : x
  2. Step 2: Convert to fraction form
    971.30/1,339.87 = 578.25/x
  3. Step 3: Cross multiply
    971.30x = 1,339.87 × 578.25
  4. Step 4: Simplify right side
    971.30x = 774,775.03
  5. Step 5: Solve for x
    x = 774,775.03/971.30
  6. Step 6: Final answer
    x = 797.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.