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Finding the Fourth Proportional to 1,125.53, 1,687.16 and 637.56

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Solution

The fourth proportional to 1,125.53, 1,687.16 and 637.56 is: 955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.53 : 1,687.16 = 637.56 : x
  2. Step 2: Convert to fraction form
    1,125.53/1,687.16 = 637.56/x
  3. Step 3: Cross multiply
    1,125.53x = 1,687.16 × 637.56
  4. Step 4: Simplify right side
    1,125.53x = 1,075,662.54
  5. Step 5: Solve for x
    x = 1,075,662.54/1,125.53
  6. Step 6: Final answer
    x = 955.70

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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.