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Finding the Fourth Proportional to 1,052.50, 1,579.72 and 532.87

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Solution

The fourth proportional to 1,052.50, 1,579.72 and 532.87 is: 799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.50 : 1,579.72 = 532.87 : x
  2. Step 2: Convert to fraction form
    1,052.50/1,579.72 = 532.87/x
  3. Step 3: Cross multiply
    1,052.50x = 1,579.72 × 532.87
  4. Step 4: Simplify right side
    1,052.50x = 841,785.40
  5. Step 5: Solve for x
    x = 841,785.40/1,052.50
  6. Step 6: Final answer
    x = 799.80

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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.