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Finding the Fourth Proportional to 1,052.86, 1,579.14 and 322.24

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Solution

The fourth proportional to 1,052.86, 1,579.14 and 322.24 is: 483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.86 : 1,579.14 = 322.24 : x
  2. Step 2: Convert to fraction form
    1,052.86/1,579.14 = 322.24/x
  3. Step 3: Cross multiply
    1,052.86x = 1,579.14 × 322.24
  4. Step 4: Simplify right side
    1,052.86x = 508,866.02
  5. Step 5: Solve for x
    x = 508,866.02/1,052.86
  6. Step 6: Final answer
    x = 483.32

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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.