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Finding the Fourth Proportional to 1,492.99, 2,237.40 and 567.55

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Solution

The fourth proportional to 1,492.99, 2,237.40 and 567.55 is: 850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.99 : 2,237.40 = 567.55 : x
  2. Step 2: Convert to fraction form
    1,492.99/2,237.40 = 567.55/x
  3. Step 3: Cross multiply
    1,492.99x = 2,237.40 × 567.55
  4. Step 4: Simplify right side
    1,492.99x = 1,269,836.37
  5. Step 5: Solve for x
    x = 1,269,836.37/1,492.99
  6. Step 6: Final answer
    x = 850.53

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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.