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Finding the Fourth Proportional to 1,053.42, 1,578.92 and 532.92

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Solution

The fourth proportional to 1,053.42, 1,578.92 and 532.92 is: 798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.42 : 1,578.92 = 532.92 : x
  2. Step 2: Convert to fraction form
    1,053.42/1,578.92 = 532.92/x
  3. Step 3: Cross multiply
    1,053.42x = 1,578.92 × 532.92
  4. Step 4: Simplify right side
    1,053.42x = 841,438.05
  5. Step 5: Solve for x
    x = 841,438.05/1,053.42
  6. Step 6: Final answer
    x = 798.77

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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.