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Finding the Fourth Proportional to 896.76, 1,237.74 and 542.76

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Solution

The fourth proportional to 896.76, 1,237.74 and 542.76 is: 749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.76 : 1,237.74 = 542.76 : x
  2. Step 2: Convert to fraction form
    896.76/1,237.74 = 542.76/x
  3. Step 3: Cross multiply
    896.76x = 1,237.74 × 542.76
  4. Step 4: Simplify right side
    896.76x = 671,795.76
  5. Step 5: Solve for x
    x = 671,795.76/896.76
  6. Step 6: Final answer
    x = 749.14

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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.