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Finding the Fourth Proportional to 1,193.18, 1,646.40 and 688.83

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Solution

The fourth proportional to 1,193.18, 1,646.40 and 688.83 is: 950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.18 : 1,646.40 = 688.83 : x
  2. Step 2: Convert to fraction form
    1,193.18/1,646.40 = 688.83/x
  3. Step 3: Cross multiply
    1,193.18x = 1,646.40 × 688.83
  4. Step 4: Simplify right side
    1,193.18x = 1,134,089.71
  5. Step 5: Solve for x
    x = 1,134,089.71/1,193.18
  6. Step 6: Final answer
    x = 950.48

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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.