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Finding the Fourth Proportional to 1,340.71, 2,010.76 and 416.24

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Solution

The fourth proportional to 1,340.71, 2,010.76 and 416.24 is: 624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.71 : 2,010.76 = 416.24 : x
  2. Step 2: Convert to fraction form
    1,340.71/2,010.76 = 416.24/x
  3. Step 3: Cross multiply
    1,340.71x = 2,010.76 × 416.24
  4. Step 4: Simplify right side
    1,340.71x = 836,966.50
  5. Step 5: Solve for x
    x = 836,966.50/1,340.71
  6. Step 6: Final answer
    x = 624.27

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1.5x scale

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.