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Finding the Fourth Proportional to 1,436.60, 2,153.94 and 499.31

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Solution

The fourth proportional to 1,436.60, 2,153.94 and 499.31 is: 748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.60 : 2,153.94 = 499.31 : x
  2. Step 2: Convert to fraction form
    1,436.60/2,153.94 = 499.31/x
  3. Step 3: Cross multiply
    1,436.60x = 2,153.94 × 499.31
  4. Step 4: Simplify right side
    1,436.60x = 1,075,479.22
  5. Step 5: Solve for x
    x = 1,075,479.22/1,436.60
  6. Step 6: Final answer
    x = 748.63

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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.