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Finding the Fourth Proportional to 1,504.99, 2,075.52 and 944.74

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Solution

The fourth proportional to 1,504.99, 2,075.52 and 944.74 is: 1,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.99 : 2,075.52 = 944.74 : x
  2. Step 2: Convert to fraction form
    1,504.99/2,075.52 = 944.74/x
  3. Step 3: Cross multiply
    1,504.99x = 2,075.52 × 944.74
  4. Step 4: Simplify right side
    1,504.99x = 1,960,826.76
  5. Step 5: Solve for x
    x = 1,960,826.76/1,504.99
  6. Step 6: Final answer
    x = 1,302.88

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