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Finding the Fourth Proportional to 933.78, 1,406.13 and 692.01

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Solution

The fourth proportional to 933.78, 1,406.13 and 692.01 is: 1,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.78 : 1,406.13 = 692.01 : x
  2. Step 2: Convert to fraction form
    933.78/1,406.13 = 692.01/x
  3. Step 3: Cross multiply
    933.78x = 1,406.13 × 692.01
  4. Step 4: Simplify right side
    933.78x = 973,056.02
  5. Step 5: Solve for x
    x = 973,056.02/933.78
  6. Step 6: Final answer
    x = 1,042.06

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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.