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Finding the Fourth Proportional to 687.35, 1,031.47 and 322.16

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Solution

The fourth proportional to 687.35, 1,031.47 and 322.16 is: 483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.35 : 1,031.47 = 322.16 : x
  2. Step 2: Convert to fraction form
    687.35/1,031.47 = 322.16/x
  3. Step 3: Cross multiply
    687.35x = 1,031.47 × 322.16
  4. Step 4: Simplify right side
    687.35x = 332,300.15
  5. Step 5: Solve for x
    x = 332,300.15/687.35
  6. Step 6: Final answer
    x = 483.45

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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.