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Finding the Fourth Proportional to 1,052.64, 1,578.72 and 283.20

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Solution

The fourth proportional to 1,052.64, 1,578.72 and 283.20 is: 424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.64 : 1,578.72 = 283.20 : x
  2. Step 2: Convert to fraction form
    1,052.64/1,578.72 = 283.20/x
  3. Step 3: Cross multiply
    1,052.64x = 1,578.72 × 283.20
  4. Step 4: Simplify right side
    1,052.64x = 447,093.50
  5. Step 5: Solve for x
    x = 447,093.50/1,052.64
  6. Step 6: Final answer
    x = 424.74

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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.