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Finding the Fourth Proportional to 1,012.43, 1,397.09 and 570.40

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Solution

The fourth proportional to 1,012.43, 1,397.09 and 570.40 is: 787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.43 : 1,397.09 = 570.40 : x
  2. Step 2: Convert to fraction form
    1,012.43/1,397.09 = 570.40/x
  3. Step 3: Cross multiply
    1,012.43x = 1,397.09 × 570.40
  4. Step 4: Simplify right side
    1,012.43x = 796,898.07
  5. Step 5: Solve for x
    x = 796,898.07/1,012.43
  6. Step 6: Final answer
    x = 787.11

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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.