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Finding the Fourth Proportional to 763.21, 1,052.69 and 468.64

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Solution

The fourth proportional to 763.21, 1,052.69 and 468.64 is: 646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.21 : 1,052.69 = 468.64 : x
  2. Step 2: Convert to fraction form
    763.21/1,052.69 = 468.64/x
  3. Step 3: Cross multiply
    763.21x = 1,052.69 × 468.64
  4. Step 4: Simplify right side
    763.21x = 493,332.64
  5. Step 5: Solve for x
    x = 493,332.64/763.21
  6. Step 6: Final answer
    x = 646.39

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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.