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Finding the Fourth Proportional to 1,053.55, 1,580.32 and 284.05

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Solution

The fourth proportional to 1,053.55, 1,580.32 and 284.05 is: 426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.55 : 1,580.32 = 284.05 : x
  2. Step 2: Convert to fraction form
    1,053.55/1,580.32 = 284.05/x
  3. Step 3: Cross multiply
    1,053.55x = 1,580.32 × 284.05
  4. Step 4: Simplify right side
    1,053.55x = 448,889.90
  5. Step 5: Solve for x
    x = 448,889.90/1,053.55
  6. Step 6: Final answer
    x = 426.07

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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.