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Finding the Fourth Proportional to 1,094.48, 1,640.76 and 410

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Solution

The fourth proportional to 1,094.48, 1,640.76 and 410 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.48 : 1,640.76 = 410 : x
  2. Step 2: Convert to fraction form
    1,094.48/1,640.76 = 410/x
  3. Step 3: Cross multiply
    1,094.48x = 1,640.76 × 410
  4. Step 4: Simplify right side
    1,094.48x = 672,711.60
  5. Step 5: Solve for x
    x = 672,711.60/1,094.48
  6. Step 6: Final answer
    x = 614.64

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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.