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Finding the Fourth Proportional to 1,573.05, 2,358.63 and 532.77

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Solution

The fourth proportional to 1,573.05, 2,358.63 and 532.77 is: 798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.05 : 2,358.63 = 532.77 : x
  2. Step 2: Convert to fraction form
    1,573.05/2,358.63 = 532.77/x
  3. Step 3: Cross multiply
    1,573.05x = 2,358.63 × 532.77
  4. Step 4: Simplify right side
    1,573.05x = 1,256,607.31
  5. Step 5: Solve for x
    x = 1,256,607.31/1,573.05
  6. Step 6: Final answer
    x = 798.83

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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.