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Finding the Fourth Proportional to 1,325.64, 1,827.45 and 828.06

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Solution

The fourth proportional to 1,325.64, 1,827.45 and 828.06 is: 1,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.64 : 1,827.45 = 828.06 : x
  2. Step 2: Convert to fraction form
    1,325.64/1,827.45 = 828.06/x
  3. Step 3: Cross multiply
    1,325.64x = 1,827.45 × 828.06
  4. Step 4: Simplify right side
    1,325.64x = 1,513,238.25
  5. Step 5: Solve for x
    x = 1,513,238.25/1,325.64
  6. Step 6: Final answer
    x = 1,141.52

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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.