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Finding the Fourth Proportional to 1,053.66, 1,580.64 and 360.42

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Solution

The fourth proportional to 1,053.66, 1,580.64 and 360.42 is: 540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.66 : 1,580.64 = 360.42 : x
  2. Step 2: Convert to fraction form
    1,053.66/1,580.64 = 360.42/x
  3. Step 3: Cross multiply
    1,053.66x = 1,580.64 × 360.42
  4. Step 4: Simplify right side
    1,053.66x = 569,694.27
  5. Step 5: Solve for x
    x = 569,694.27/1,053.66
  6. Step 6: Final answer
    x = 540.68

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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.