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Finding the Fourth Proportional to 1,013, 1,397.95 and 570.88

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Solution

The fourth proportional to 1,013, 1,397.95 and 570.88 is: 787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013 : 1,397.95 = 570.88 : x
  2. Step 2: Convert to fraction form
    1,013/1,397.95 = 570.88/x
  3. Step 3: Cross multiply
    1,013x = 1,397.95 × 570.88
  4. Step 4: Simplify right side
    1,013x = 798,061.70
  5. Step 5: Solve for x
    x = 798,061.70/1,013
  6. Step 6: Final answer
    x = 787.82

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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.