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Finding the Fourth Proportional to 1,094.68, 1,643.66 and 633.35

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Solution

The fourth proportional to 1,094.68, 1,643.66 and 633.35 is: 950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.68 : 1,643.66 = 633.35 : x
  2. Step 2: Convert to fraction form
    1,094.68/1,643.66 = 633.35/x
  3. Step 3: Cross multiply
    1,094.68x = 1,643.66 × 633.35
  4. Step 4: Simplify right side
    1,094.68x = 1,041,015.38
  5. Step 5: Solve for x
    x = 1,041,015.38/1,094.68
  6. Step 6: Final answer
    x = 950.98

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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.