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Finding the Fourth Proportional to 903.76, 1,355.85 and 464.83

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Solution

The fourth proportional to 903.76, 1,355.85 and 464.83 is: 697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.76 : 1,355.85 = 464.83 : x
  2. Step 2: Convert to fraction form
    903.76/1,355.85 = 464.83/x
  3. Step 3: Cross multiply
    903.76x = 1,355.85 × 464.83
  4. Step 4: Simplify right side
    903.76x = 630,236.37
  5. Step 5: Solve for x
    x = 630,236.37/903.76
  6. Step 6: Final answer
    x = 697.35

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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.