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Finding the Fourth Proportional to 1,298.64, 1,946.24 and 776.96

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Solution

The fourth proportional to 1,298.64, 1,946.24 and 776.96 is: 1,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.64 : 1,946.24 = 776.96 : x
  2. Step 2: Convert to fraction form
    1,298.64/1,946.24 = 776.96/x
  3. Step 3: Cross multiply
    1,298.64x = 1,946.24 × 776.96
  4. Step 4: Simplify right side
    1,298.64x = 1,512,150.63
  5. Step 5: Solve for x
    x = 1,512,150.63/1,298.64
  6. Step 6: Final answer
    x = 1,164.41

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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.