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Finding the Fourth Proportional to 756.64, 1,043.84 and 462.06

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Solution

The fourth proportional to 756.64, 1,043.84 and 462.06 is: 637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.64 : 1,043.84 = 462.06 : x
  2. Step 2: Convert to fraction form
    756.64/1,043.84 = 462.06/x
  3. Step 3: Cross multiply
    756.64x = 1,043.84 × 462.06
  4. Step 4: Simplify right side
    756.64x = 482,316.71
  5. Step 5: Solve for x
    x = 482,316.71/756.64
  6. Step 6: Final answer
    x = 637.45

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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.