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Finding the Fourth Proportional to 1,294.64, 1,942.08 and 429.02

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Solution

The fourth proportional to 1,294.64, 1,942.08 and 429.02 is: 643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.64 : 1,942.08 = 429.02 : x
  2. Step 2: Convert to fraction form
    1,294.64/1,942.08 = 429.02/x
  3. Step 3: Cross multiply
    1,294.64x = 1,942.08 × 429.02
  4. Step 4: Simplify right side
    1,294.64x = 833,191.16
  5. Step 5: Solve for x
    x = 833,191.16/1,294.64
  6. Step 6: Final answer
    x = 643.57

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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.