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Finding the Fourth Proportional to 790.40, 1,088.98 and 650.95

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Solution

The fourth proportional to 790.40, 1,088.98 and 650.95 is: 896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.40 : 1,088.98 = 650.95 : x
  2. Step 2: Convert to fraction form
    790.40/1,088.98 = 650.95/x
  3. Step 3: Cross multiply
    790.40x = 1,088.98 × 650.95
  4. Step 4: Simplify right side
    790.40x = 708,867.18
  5. Step 5: Solve for x
    x = 708,867.18/790.40
  6. Step 6: Final answer
    x = 896.84

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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.