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Finding the Fourth Proportional to 910.49, 1,256.93 and 537.59

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Solution

The fourth proportional to 910.49, 1,256.93 and 537.59 is: 742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.49 : 1,256.93 = 537.59 : x
  2. Step 2: Convert to fraction form
    910.49/1,256.93 = 537.59/x
  3. Step 3: Cross multiply
    910.49x = 1,256.93 × 537.59
  4. Step 4: Simplify right side
    910.49x = 675,711.42
  5. Step 5: Solve for x
    x = 675,711.42/910.49
  6. Step 6: Final answer
    x = 742.14

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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.