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Finding the Fourth Proportional to 933.76, 1,288.14 and 602.08

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Solution

The fourth proportional to 933.76, 1,288.14 and 602.08 is: 830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.76 : 1,288.14 = 602.08 : x
  2. Step 2: Convert to fraction form
    933.76/1,288.14 = 602.08/x
  3. Step 3: Cross multiply
    933.76x = 1,288.14 × 602.08
  4. Step 4: Simplify right side
    933.76x = 775,563.33
  5. Step 5: Solve for x
    x = 775,563.33/933.76
  6. Step 6: Final answer
    x = 830.58

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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.