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Finding the Fourth Proportional to 1,052.54, 1,578.81 and 467.40

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Solution

The fourth proportional to 1,052.54, 1,578.81 and 467.40 is: 701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.54 : 1,578.81 = 467.40 : x
  2. Step 2: Convert to fraction form
    1,052.54/1,578.81 = 467.40/x
  3. Step 3: Cross multiply
    1,052.54x = 1,578.81 × 467.40
  4. Step 4: Simplify right side
    1,052.54x = 737,941.82
  5. Step 5: Solve for x
    x = 737,941.82/1,052.54
  6. Step 6: Final answer
    x = 701.11

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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.