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Finding the Fourth Proportional to 1,012.46, 1,397.54 and 640.07

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Solution

The fourth proportional to 1,012.46, 1,397.54 and 640.07 is: 883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.46 : 1,397.54 = 640.07 : x
  2. Step 2: Convert to fraction form
    1,012.46/1,397.54 = 640.07/x
  3. Step 3: Cross multiply
    1,012.46x = 1,397.54 × 640.07
  4. Step 4: Simplify right side
    1,012.46x = 894,513.24
  5. Step 5: Solve for x
    x = 894,513.24/1,012.46
  6. Step 6: Final answer
    x = 883.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.