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Finding the Fourth Proportional to 1,434, 1,978.92 and 909.93

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Solution

The fourth proportional to 1,434, 1,978.92 and 909.93 is: 1,255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434 : 1,978.92 = 909.93 : x
  2. Step 2: Convert to fraction form
    1,434/1,978.92 = 909.93/x
  3. Step 3: Cross multiply
    1,434x = 1,978.92 × 909.93
  4. Step 4: Simplify right side
    1,434x = 1,800,678.68
  5. Step 5: Solve for x
    x = 1,800,678.68/1,434
  6. Step 6: Final answer
    x = 1,255.70

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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.