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Finding the Fourth Proportional to 983.05, 1,357.20 and 651.76

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Solution

The fourth proportional to 983.05, 1,357.20 and 651.76 is: 899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.05 : 1,357.20 = 651.76 : x
  2. Step 2: Convert to fraction form
    983.05/1,357.20 = 651.76/x
  3. Step 3: Cross multiply
    983.05x = 1,357.20 × 651.76
  4. Step 4: Simplify right side
    983.05x = 884,565.28
  5. Step 5: Solve for x
    x = 884,565.28/983.05
  6. Step 6: Final answer
    x = 899.82

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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.