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Finding the Fourth Proportional to 1,503.67, 2,075.43 and 914.60

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Solution

The fourth proportional to 1,503.67, 2,075.43 and 914.60 is: 1,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.67 : 2,075.43 = 914.60 : x
  2. Step 2: Convert to fraction form
    1,503.67/2,075.43 = 914.60/x
  3. Step 3: Cross multiply
    1,503.67x = 2,075.43 × 914.60
  4. Step 4: Simplify right side
    1,503.67x = 1,898,177.90
  5. Step 5: Solve for x
    x = 1,898,177.90/1,503.67
  6. Step 6: Final answer
    x = 1,262.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.