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Finding the Fourth Proportional to 910.94, 1,256.95 and 537.87

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Solution

The fourth proportional to 910.94, 1,256.95 and 537.87 is: 742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.94 : 1,256.95 = 537.87 : x
  2. Step 2: Convert to fraction form
    910.94/1,256.95 = 537.87/x
  3. Step 3: Cross multiply
    910.94x = 1,256.95 × 537.87
  4. Step 4: Simplify right side
    910.94x = 676,075.70
  5. Step 5: Solve for x
    x = 676,075.70/910.94
  6. Step 6: Final answer
    x = 742.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.