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Finding the Fourth Proportional to 933.10, 1,287.50 and 601.46

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Solution

The fourth proportional to 933.10, 1,287.50 and 601.46 is: 829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.10 : 1,287.50 = 601.46 : x
  2. Step 2: Convert to fraction form
    933.10/1,287.50 = 601.46/x
  3. Step 3: Cross multiply
    933.10x = 1,287.50 × 601.46
  4. Step 4: Simplify right side
    933.10x = 774,379.75
  5. Step 5: Solve for x
    x = 774,379.75/933.10
  6. Step 6: Final answer
    x = 829.90

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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.