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Finding the Fourth Proportional to 947.79, 1,421.61 and 298.53

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Solution

The fourth proportional to 947.79, 1,421.61 and 298.53 is: 447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.79 : 1,421.61 = 298.53 : x
  2. Step 2: Convert to fraction form
    947.79/1,421.61 = 298.53/x
  3. Step 3: Cross multiply
    947.79x = 1,421.61 × 298.53
  4. Step 4: Simplify right side
    947.79x = 424,393.23
  5. Step 5: Solve for x
    x = 424,393.23/947.79
  6. Step 6: Final answer
    x = 447.77

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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.