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Finding the Fourth Proportional to 601.77, 903.92 and 534.72

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Solution

The fourth proportional to 601.77, 903.92 and 534.72 is: 803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.77 : 903.92 = 534.72 : x
  2. Step 2: Convert to fraction form
    601.77/903.92 = 534.72/x
  3. Step 3: Cross multiply
    601.77x = 903.92 × 534.72
  4. Step 4: Simplify right side
    601.77x = 483,341.43
  5. Step 5: Solve for x
    x = 483,341.43/601.77
  6. Step 6: Final answer
    x = 803.20

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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.