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Finding the Fourth Proportional to 1,052.59, 1,577.79 and 359.02

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Solution

The fourth proportional to 1,052.59, 1,577.79 and 359.02 is: 538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.59 : 1,577.79 = 359.02 : x
  2. Step 2: Convert to fraction form
    1,052.59/1,577.79 = 359.02/x
  3. Step 3: Cross multiply
    1,052.59x = 1,577.79 × 359.02
  4. Step 4: Simplify right side
    1,052.59x = 566,450.90
  5. Step 5: Solve for x
    x = 566,450.90/1,052.59
  6. Step 6: Final answer
    x = 538.15

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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.