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Finding the Fourth Proportional to 1,276.83, 1,913.02 and 909.70

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Solution

The fourth proportional to 1,276.83, 1,913.02 and 909.70 is: 1,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.83 : 1,913.02 = 909.70 : x
  2. Step 2: Convert to fraction form
    1,276.83/1,913.02 = 909.70/x
  3. Step 3: Cross multiply
    1,276.83x = 1,913.02 × 909.70
  4. Step 4: Simplify right side
    1,276.83x = 1,740,267.24
  5. Step 5: Solve for x
    x = 1,740,267.24/1,276.83
  6. Step 6: Final answer
    x = 1,362.96

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Why These Related Problems?

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