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Finding the Fourth Proportional to 1,356.89, 2,034.54 and 535.34

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Solution

The fourth proportional to 1,356.89, 2,034.54 and 535.34 is: 802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.89 : 2,034.54 = 535.34 : x
  2. Step 2: Convert to fraction form
    1,356.89/2,034.54 = 535.34/x
  3. Step 3: Cross multiply
    1,356.89x = 2,034.54 × 535.34
  4. Step 4: Simplify right side
    1,356.89x = 1,089,175.73
  5. Step 5: Solve for x
    x = 1,089,175.73/1,356.89
  6. Step 6: Final answer
    x = 802.70

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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.