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Finding the Fourth Proportional to 1,053.10, 1,579.24 and 532.07

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Solution

The fourth proportional to 1,053.10, 1,579.24 and 532.07 is: 797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.10 : 1,579.24 = 532.07 : x
  2. Step 2: Convert to fraction form
    1,053.10/1,579.24 = 532.07/x
  3. Step 3: Cross multiply
    1,053.10x = 1,579.24 × 532.07
  4. Step 4: Simplify right side
    1,053.10x = 840,255.67
  5. Step 5: Solve for x
    x = 840,255.67/1,053.10
  6. Step 6: Final answer
    x = 797.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.