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Finding the Fourth Proportional to 933.16, 1,287.75 and 513.50

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Solution

The fourth proportional to 933.16, 1,287.75 and 513.50 is: 708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.16 : 1,287.75 = 513.50 : x
  2. Step 2: Convert to fraction form
    933.16/1,287.75 = 513.50/x
  3. Step 3: Cross multiply
    933.16x = 1,287.75 × 513.50
  4. Step 4: Simplify right side
    933.16x = 661,259.63
  5. Step 5: Solve for x
    x = 661,259.63/933.16
  6. Step 6: Final answer
    x = 708.62

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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.