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Finding the Fourth Proportional to 1,012.86, 1,397.70 and 570.80

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Solution

The fourth proportional to 1,012.86, 1,397.70 and 570.80 is: 787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.86 : 1,397.70 = 570.80 : x
  2. Step 2: Convert to fraction form
    1,012.86/1,397.70 = 570.80/x
  3. Step 3: Cross multiply
    1,012.86x = 1,397.70 × 570.80
  4. Step 4: Simplify right side
    1,012.86x = 797,800.17
  5. Step 5: Solve for x
    x = 797,800.17/1,012.86
  6. Step 6: Final answer
    x = 787.67

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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.