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Finding the Fourth Proportional to 1,053.04, 1,579.96 and 322.64

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Solution

The fourth proportional to 1,053.04, 1,579.96 and 322.64 is: 484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.04 : 1,579.96 = 322.64 : x
  2. Step 2: Convert to fraction form
    1,053.04/1,579.96 = 322.64/x
  3. Step 3: Cross multiply
    1,053.04x = 1,579.96 × 322.64
  4. Step 4: Simplify right side
    1,053.04x = 509,758.29
  5. Step 5: Solve for x
    x = 509,758.29/1,053.04
  6. Step 6: Final answer
    x = 484.08

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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.