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Finding the Fourth Proportional to 1,053.52, 1,580.06 and 322.88

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Solution

The fourth proportional to 1,053.52, 1,580.06 and 322.88 is: 484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.52 : 1,580.06 = 322.88 : x
  2. Step 2: Convert to fraction form
    1,053.52/1,580.06 = 322.88/x
  3. Step 3: Cross multiply
    1,053.52x = 1,580.06 × 322.88
  4. Step 4: Simplify right side
    1,053.52x = 510,169.77
  5. Step 5: Solve for x
    x = 510,169.77/1,053.52
  6. Step 6: Final answer
    x = 484.25

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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.