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Finding the Fourth Proportional to 914, 1,370.76 and 497.12

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Solution

The fourth proportional to 914, 1,370.76 and 497.12 is: 745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    914 : 1,370.76 = 497.12 : x
  2. Step 2: Convert to fraction form
    914/1,370.76 = 497.12/x
  3. Step 3: Cross multiply
    914x = 1,370.76 × 497.12
  4. Step 4: Simplify right side
    914x = 681,432.21
  5. Step 5: Solve for x
    x = 681,432.21/914
  6. Step 6: Final answer
    x = 745.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.