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Finding the Fourth Proportional to 1,053.53, 1,580.30 and 323.10

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Solution

The fourth proportional to 1,053.53, 1,580.30 and 323.10 is: 484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.53 : 1,580.30 = 323.10 : x
  2. Step 2: Convert to fraction form
    1,053.53/1,580.30 = 323.10/x
  3. Step 3: Cross multiply
    1,053.53x = 1,580.30 × 323.10
  4. Step 4: Simplify right side
    1,053.53x = 510,594.93
  5. Step 5: Solve for x
    x = 510,594.93/1,053.53
  6. Step 6: Final answer
    x = 484.65

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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.