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Finding the Fourth Proportional to 1,017.50, 1,526.26 and 248

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Solution

The fourth proportional to 1,017.50, 1,526.26 and 248 is: 372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.50 : 1,526.26 = 248 : x
  2. Step 2: Convert to fraction form
    1,017.50/1,526.26 = 248/x
  3. Step 3: Cross multiply
    1,017.50x = 1,526.26 × 248
  4. Step 4: Simplify right side
    1,017.50x = 378,512.48
  5. Step 5: Solve for x
    x = 378,512.48/1,017.50
  6. Step 6: Final answer
    x = 372.00

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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.