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Finding the Fourth Proportional to 1,340.79, 2,011.37 and 463.52

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Solution

The fourth proportional to 1,340.79, 2,011.37 and 463.52 is: 695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.79 : 2,011.37 = 463.52 : x
  2. Step 2: Convert to fraction form
    1,340.79/2,011.37 = 463.52/x
  3. Step 3: Cross multiply
    1,340.79x = 2,011.37 × 463.52
  4. Step 4: Simplify right side
    1,340.79x = 932,300.17
  5. Step 5: Solve for x
    x = 932,300.17/1,340.79
  6. Step 6: Final answer
    x = 695.34

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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.