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Finding the Fourth Proportional to 652.66, 899.97 and 533.74

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Solution

The fourth proportional to 652.66, 899.97 and 533.74 is: 735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.66 : 899.97 = 533.74 : x
  2. Step 2: Convert to fraction form
    652.66/899.97 = 533.74/x
  3. Step 3: Cross multiply
    652.66x = 899.97 × 533.74
  4. Step 4: Simplify right side
    652.66x = 480,349.07
  5. Step 5: Solve for x
    x = 480,349.07/652.66
  6. Step 6: Final answer
    x = 735.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.