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Finding the Fourth Proportional to 933.98, 1,288.16 and 602.44

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Solution

The fourth proportional to 933.98, 1,288.16 and 602.44 is: 830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.98 : 1,288.16 = 602.44 : x
  2. Step 2: Convert to fraction form
    933.98/1,288.16 = 602.44/x
  3. Step 3: Cross multiply
    933.98x = 1,288.16 × 602.44
  4. Step 4: Simplify right side
    933.98x = 776,039.11
  5. Step 5: Solve for x
    x = 776,039.11/933.98
  6. Step 6: Final answer
    x = 830.89

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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.