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Finding the Fourth Proportional to 1,012.65, 1,397.46 and 570.46

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Solution

The fourth proportional to 1,012.65, 1,397.46 and 570.46 is: 787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.65 : 1,397.46 = 570.46 : x
  2. Step 2: Convert to fraction form
    1,012.65/1,397.46 = 570.46/x
  3. Step 3: Cross multiply
    1,012.65x = 1,397.46 × 570.46
  4. Step 4: Simplify right side
    1,012.65x = 797,195.03
  5. Step 5: Solve for x
    x = 797,195.03/1,012.65
  6. Step 6: Final answer
    x = 787.24

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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.