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Finding the Fourth Proportional to 1,356.76, 2,036.30 and 535.62

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Solution

The fourth proportional to 1,356.76, 2,036.30 and 535.62 is: 803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.76 : 2,036.30 = 535.62 : x
  2. Step 2: Convert to fraction form
    1,356.76/2,036.30 = 535.62/x
  3. Step 3: Cross multiply
    1,356.76x = 2,036.30 × 535.62
  4. Step 4: Simplify right side
    1,356.76x = 1,090,683.01
  5. Step 5: Solve for x
    x = 1,090,683.01/1,356.76
  6. Step 6: Final answer
    x = 803.89

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