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Finding the Fourth Proportional to 933.03, 1,405.06 and 812.75

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Solution

The fourth proportional to 933.03, 1,405.06 and 812.75 is: 1,223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.03 : 1,405.06 = 812.75 : x
  2. Step 2: Convert to fraction form
    933.03/1,405.06 = 812.75/x
  3. Step 3: Cross multiply
    933.03x = 1,405.06 × 812.75
  4. Step 4: Simplify right side
    933.03x = 1,141,953.46
  5. Step 5: Solve for x
    x = 1,141,953.46/933.03
  6. Step 6: Final answer
    x = 1,223.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.