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Finding the Fourth Proportional to 1,053.95, 1,580.91 and 284.45

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Solution

The fourth proportional to 1,053.95, 1,580.91 and 284.45 is: 426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.95 : 1,580.91 = 284.45 : x
  2. Step 2: Convert to fraction form
    1,053.95/1,580.91 = 284.45/x
  3. Step 3: Cross multiply
    1,053.95x = 1,580.91 × 284.45
  4. Step 4: Simplify right side
    1,053.95x = 449,689.85
  5. Step 5: Solve for x
    x = 449,689.85/1,053.95
  6. Step 6: Final answer
    x = 426.67

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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.