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Finding the Fourth Proportional to 1,365.13, 2,047.32 and 532.06

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Solution

The fourth proportional to 1,365.13, 2,047.32 and 532.06 is: 797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.13 : 2,047.32 = 532.06 : x
  2. Step 2: Convert to fraction form
    1,365.13/2,047.32 = 532.06/x
  3. Step 3: Cross multiply
    1,365.13x = 2,047.32 × 532.06
  4. Step 4: Simplify right side
    1,365.13x = 1,089,297.08
  5. Step 5: Solve for x
    x = 1,089,297.08/1,365.13
  6. Step 6: Final answer
    x = 797.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.