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Finding the Fourth Proportional to 1,076.52, 1,485.64 and 814.08

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Solution

The fourth proportional to 1,076.52, 1,485.64 and 814.08 is: 1,123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.52 : 1,485.64 = 814.08 : x
  2. Step 2: Convert to fraction form
    1,076.52/1,485.64 = 814.08/x
  3. Step 3: Cross multiply
    1,076.52x = 1,485.64 × 814.08
  4. Step 4: Simplify right side
    1,076.52x = 1,209,429.81
  5. Step 5: Solve for x
    x = 1,209,429.81/1,076.52
  6. Step 6: Final answer
    x = 1,123.46

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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.