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Finding the Fourth Proportional to 978.77, 1,350.01 and 605.93

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Solution

The fourth proportional to 978.77, 1,350.01 and 605.93 is: 835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.77 : 1,350.01 = 605.93 : x
  2. Step 2: Convert to fraction form
    978.77/1,350.01 = 605.93/x
  3. Step 3: Cross multiply
    978.77x = 1,350.01 × 605.93
  4. Step 4: Simplify right side
    978.77x = 818,008.53
  5. Step 5: Solve for x
    x = 818,008.53/978.77
  6. Step 6: Final answer
    x = 835.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.