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Finding the Fourth Proportional to 1,134.99, 1,700.91 and 549.75

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Solution

The fourth proportional to 1,134.99, 1,700.91 and 549.75 is: 823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.99 : 1,700.91 = 549.75 : x
  2. Step 2: Convert to fraction form
    1,134.99/1,700.91 = 549.75/x
  3. Step 3: Cross multiply
    1,134.99x = 1,700.91 × 549.75
  4. Step 4: Simplify right side
    1,134.99x = 935,075.27
  5. Step 5: Solve for x
    x = 935,075.27/1,134.99
  6. Step 6: Final answer
    x = 823.86

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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.