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Finding the Fourth Proportional to 989.65, 1,365.83 and 570.14

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Solution

The fourth proportional to 989.65, 1,365.83 and 570.14 is: 786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.65 : 1,365.83 = 570.14 : x
  2. Step 2: Convert to fraction form
    989.65/1,365.83 = 570.14/x
  3. Step 3: Cross multiply
    989.65x = 1,365.83 × 570.14
  4. Step 4: Simplify right side
    989.65x = 778,711.90
  5. Step 5: Solve for x
    x = 778,711.90/989.65
  6. Step 6: Final answer
    x = 786.85

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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.