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Finding the Fourth Proportional to 1,294.47, 1,941.86 and 473.13

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Solution

The fourth proportional to 1,294.47, 1,941.86 and 473.13 is: 709.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.47 : 1,941.86 = 473.13 : x
  2. Step 2: Convert to fraction form
    1,294.47/1,941.86 = 473.13/x
  3. Step 3: Cross multiply
    1,294.47x = 1,941.86 × 473.13
  4. Step 4: Simplify right side
    1,294.47x = 918,752.22
  5. Step 5: Solve for x
    x = 918,752.22/1,294.47
  6. Step 6: Final answer
    x = 709.75

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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.