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Finding the Fourth Proportional to 1,340, 2,009.98 and 474.10

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Solution

The fourth proportional to 1,340, 2,009.98 and 474.10 is: 711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340 : 2,009.98 = 474.10 : x
  2. Step 2: Convert to fraction form
    1,340/2,009.98 = 474.10/x
  3. Step 3: Cross multiply
    1,340x = 2,009.98 × 474.10
  4. Step 4: Simplify right side
    1,340x = 952,931.52
  5. Step 5: Solve for x
    x = 952,931.52/1,340
  6. Step 6: Final answer
    x = 711.14

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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.