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Finding the Fourth Proportional to 715.69, 1,068.53 and 633.88

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Solution

The fourth proportional to 715.69, 1,068.53 and 633.88 is: 946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.69 : 1,068.53 = 633.88 : x
  2. Step 2: Convert to fraction form
    715.69/1,068.53 = 633.88/x
  3. Step 3: Cross multiply
    715.69x = 1,068.53 × 633.88
  4. Step 4: Simplify right side
    715.69x = 677,319.80
  5. Step 5: Solve for x
    x = 677,319.80/715.69
  6. Step 6: Final answer
    x = 946.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.