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Finding the Fourth Proportional to 1,052.36, 1,578.58 and 538.76

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Solution

The fourth proportional to 1,052.36, 1,578.58 and 538.76 is: 808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.36 : 1,578.58 = 538.76 : x
  2. Step 2: Convert to fraction form
    1,052.36/1,578.58 = 538.76/x
  3. Step 3: Cross multiply
    1,052.36x = 1,578.58 × 538.76
  4. Step 4: Simplify right side
    1,052.36x = 850,475.76
  5. Step 5: Solve for x
    x = 850,475.76/1,052.36
  6. Step 6: Final answer
    x = 808.16

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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.