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Finding the Fourth Proportional to 933.58, 1,286.98 and 652.94

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Solution

The fourth proportional to 933.58, 1,286.98 and 652.94 is: 900.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.58 : 1,286.98 = 652.94 : x
  2. Step 2: Convert to fraction form
    933.58/1,286.98 = 652.94/x
  3. Step 3: Cross multiply
    933.58x = 1,286.98 × 652.94
  4. Step 4: Simplify right side
    933.58x = 840,317.46
  5. Step 5: Solve for x
    x = 840,317.46/933.58
  6. Step 6: Final answer
    x = 900.11

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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.