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Finding the Fourth Proportional to 1,060.25, 1,588.35 and 828.05

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Solution

The fourth proportional to 1,060.25, 1,588.35 and 828.05 is: 1,240.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.25 : 1,588.35 = 828.05 : x
  2. Step 2: Convert to fraction form
    1,060.25/1,588.35 = 828.05/x
  3. Step 3: Cross multiply
    1,060.25x = 1,588.35 × 828.05
  4. Step 4: Simplify right side
    1,060.25x = 1,315,233.22
  5. Step 5: Solve for x
    x = 1,315,233.22/1,060.25
  6. Step 6: Final answer
    x = 1,240.49

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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.