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Finding the Fourth Proportional to 1,054.76, 1,582.12 and 285.26

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Solution

The fourth proportional to 1,054.76, 1,582.12 and 285.26 is: 427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.76 : 1,582.12 = 285.26 : x
  2. Step 2: Convert to fraction form
    1,054.76/1,582.12 = 285.26/x
  3. Step 3: Cross multiply
    1,054.76x = 1,582.12 × 285.26
  4. Step 4: Simplify right side
    1,054.76x = 451,315.55
  5. Step 5: Solve for x
    x = 451,315.55/1,054.76
  6. Step 6: Final answer
    x = 427.88

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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.