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Finding the Fourth Proportional to 910.83, 1,256.57 and 596.17

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Solution

The fourth proportional to 910.83, 1,256.57 and 596.17 is: 822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.83 : 1,256.57 = 596.17 : x
  2. Step 2: Convert to fraction form
    910.83/1,256.57 = 596.17/x
  3. Step 3: Cross multiply
    910.83x = 1,256.57 × 596.17
  4. Step 4: Simplify right side
    910.83x = 749,126.36
  5. Step 5: Solve for x
    x = 749,126.36/910.83
  6. Step 6: Final answer
    x = 822.47

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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.