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Finding the Fourth Proportional to 1,294.86, 1,941.48 and 601.10

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Solution

The fourth proportional to 1,294.86, 1,941.48 and 601.10 is: 901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.86 : 1,941.48 = 601.10 : x
  2. Step 2: Convert to fraction form
    1,294.86/1,941.48 = 601.10/x
  3. Step 3: Cross multiply
    1,294.86x = 1,941.48 × 601.10
  4. Step 4: Simplify right side
    1,294.86x = 1,167,013.92
  5. Step 5: Solve for x
    x = 1,167,013.92/1,294.86
  6. Step 6: Final answer
    x = 901.27

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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.