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Finding the Fourth Proportional to 1,307.95, 1,962.21 and 650.18

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Solution

The fourth proportional to 1,307.95, 1,962.21 and 650.18 is: 975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.95 : 1,962.21 = 650.18 : x
  2. Step 2: Convert to fraction form
    1,307.95/1,962.21 = 650.18/x
  3. Step 3: Cross multiply
    1,307.95x = 1,962.21 × 650.18
  4. Step 4: Simplify right side
    1,307.95x = 1,275,794.60
  5. Step 5: Solve for x
    x = 1,275,794.60/1,307.95
  6. Step 6: Final answer
    x = 975.42

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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.