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Finding the Fourth Proportional to 954.66, 1,430.82 and 843.93

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Solution

The fourth proportional to 954.66, 1,430.82 and 843.93 is: 1,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.66 : 1,430.82 = 843.93 : x
  2. Step 2: Convert to fraction form
    954.66/1,430.82 = 843.93/x
  3. Step 3: Cross multiply
    954.66x = 1,430.82 × 843.93
  4. Step 4: Simplify right side
    954.66x = 1,207,511.92
  5. Step 5: Solve for x
    x = 1,207,511.92/954.66
  6. Step 6: Final answer
    x = 1,264.86

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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.