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Finding the Fourth Proportional to 1,052.94, 1,579.86 and 437.10

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Solution

The fourth proportional to 1,052.94, 1,579.86 and 437.10 is: 655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.94 : 1,579.86 = 437.10 : x
  2. Step 2: Convert to fraction form
    1,052.94/1,579.86 = 437.10/x
  3. Step 3: Cross multiply
    1,052.94x = 1,579.86 × 437.10
  4. Step 4: Simplify right side
    1,052.94x = 690,556.81
  5. Step 5: Solve for x
    x = 690,556.81/1,052.94
  6. Step 6: Final answer
    x = 655.84

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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.