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Finding the Fourth Proportional to 910.77, 1,257.03 and 517.74

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Solution

The fourth proportional to 910.77, 1,257.03 and 517.74 is: 714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.77 : 1,257.03 = 517.74 : x
  2. Step 2: Convert to fraction form
    910.77/1,257.03 = 517.74/x
  3. Step 3: Cross multiply
    910.77x = 1,257.03 × 517.74
  4. Step 4: Simplify right side
    910.77x = 650,814.71
  5. Step 5: Solve for x
    x = 650,814.71/910.77
  6. Step 6: Final answer
    x = 714.58

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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.