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Finding the Fourth Proportional to 910.86, 1,257 and 517.86

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Solution

The fourth proportional to 910.86, 1,257 and 517.86 is: 714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.86 : 1,257 = 517.86 : x
  2. Step 2: Convert to fraction form
    910.86/1,257 = 517.86/x
  3. Step 3: Cross multiply
    910.86x = 1,257 × 517.86
  4. Step 4: Simplify right side
    910.86x = 650,950.02
  5. Step 5: Solve for x
    x = 650,950.02/910.86
  6. Step 6: Final answer
    x = 714.65

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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.