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Finding the Fourth Proportional to 1,661.50, 2,492.25 and 507.25

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Solution

The fourth proportional to 1,661.50, 2,492.25 and 507.25 is: 760.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.50 : 2,492.25 = 507.25 : x
  2. Step 2: Convert to fraction form
    1,661.50/2,492.25 = 507.25/x
  3. Step 3: Cross multiply
    1,661.50x = 2,492.25 × 507.25
  4. Step 4: Simplify right side
    1,661.50x = 1,264,193.81
  5. Step 5: Solve for x
    x = 1,264,193.81/1,661.50
  6. Step 6: Final answer
    x = 760.88

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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.