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Finding the Fourth Proportional to 988.95, 1,365.83 and 658.77

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Solution

The fourth proportional to 988.95, 1,365.83 and 658.77 is: 909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.95 : 1,365.83 = 658.77 : x
  2. Step 2: Convert to fraction form
    988.95/1,365.83 = 658.77/x
  3. Step 3: Cross multiply
    988.95x = 1,365.83 × 658.77
  4. Step 4: Simplify right side
    988.95x = 899,767.83
  5. Step 5: Solve for x
    x = 899,767.83/988.95
  6. Step 6: Final answer
    x = 909.82

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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.