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Finding the Fourth Proportional to 989.59, 1,365.69 and 570.01

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Solution

The fourth proportional to 989.59, 1,365.69 and 570.01 is: 786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.59 : 1,365.69 = 570.01 : x
  2. Step 2: Convert to fraction form
    989.59/1,365.69 = 570.01/x
  3. Step 3: Cross multiply
    989.59x = 1,365.69 × 570.01
  4. Step 4: Simplify right side
    989.59x = 778,453.43
  5. Step 5: Solve for x
    x = 778,453.43/989.59
  6. Step 6: Final answer
    x = 786.64

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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.