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Finding the Fourth Proportional to 933.60, 1,397.84 and 476.64

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Solution

The fourth proportional to 933.60, 1,397.84 and 476.64 is: 713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.60 : 1,397.84 = 476.64 : x
  2. Step 2: Convert to fraction form
    933.60/1,397.84 = 476.64/x
  3. Step 3: Cross multiply
    933.60x = 1,397.84 × 476.64
  4. Step 4: Simplify right side
    933.60x = 666,266.46
  5. Step 5: Solve for x
    x = 666,266.46/933.60
  6. Step 6: Final answer
    x = 713.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.