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Finding the Fourth Proportional to 1,492.58, 2,237.54 and 567.50

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Solution

The fourth proportional to 1,492.58, 2,237.54 and 567.50 is: 850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.58 : 2,237.54 = 567.50 : x
  2. Step 2: Convert to fraction form
    1,492.58/2,237.54 = 567.50/x
  3. Step 3: Cross multiply
    1,492.58x = 2,237.54 × 567.50
  4. Step 4: Simplify right side
    1,492.58x = 1,269,803.95
  5. Step 5: Solve for x
    x = 1,269,803.95/1,492.58
  6. Step 6: Final answer
    x = 850.74

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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.