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Finding the Fourth Proportional to 900.77, 1,351.08 and 284.77

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Solution

The fourth proportional to 900.77, 1,351.08 and 284.77 is: 427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.77 : 1,351.08 = 284.77 : x
  2. Step 2: Convert to fraction form
    900.77/1,351.08 = 284.77/x
  3. Step 3: Cross multiply
    900.77x = 1,351.08 × 284.77
  4. Step 4: Simplify right side
    900.77x = 384,741.14
  5. Step 5: Solve for x
    x = 384,741.14/900.77
  6. Step 6: Final answer
    x = 427.12

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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.