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Finding the Fourth Proportional to 1,013.63, 1,398.71 and 640.47

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Solution

The fourth proportional to 1,013.63, 1,398.71 and 640.47 is: 883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.63 : 1,398.71 = 640.47 : x
  2. Step 2: Convert to fraction form
    1,013.63/1,398.71 = 640.47/x
  3. Step 3: Cross multiply
    1,013.63x = 1,398.71 × 640.47
  4. Step 4: Simplify right side
    1,013.63x = 895,828.59
  5. Step 5: Solve for x
    x = 895,828.59/1,013.63
  6. Step 6: Final answer
    x = 883.79

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