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Finding the Fourth Proportional to 1,325.51, 1,829.11 and 828.24

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Solution

The fourth proportional to 1,325.51, 1,829.11 and 828.24 is: 1,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.51 : 1,829.11 = 828.24 : x
  2. Step 2: Convert to fraction form
    1,325.51/1,829.11 = 828.24/x
  3. Step 3: Cross multiply
    1,325.51x = 1,829.11 × 828.24
  4. Step 4: Simplify right side
    1,325.51x = 1,514,942.07
  5. Step 5: Solve for x
    x = 1,514,942.07/1,325.51
  6. Step 6: Final answer
    x = 1,142.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.