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Finding the Fourth Proportional to 1,125.36, 1,687.42 and 467.05

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Solution

The fourth proportional to 1,125.36, 1,687.42 and 467.05 is: 700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.36 : 1,687.42 = 467.05 : x
  2. Step 2: Convert to fraction form
    1,125.36/1,687.42 = 467.05/x
  3. Step 3: Cross multiply
    1,125.36x = 1,687.42 × 467.05
  4. Step 4: Simplify right side
    1,125.36x = 788,109.51
  5. Step 5: Solve for x
    x = 788,109.51/1,125.36
  6. Step 6: Final answer
    x = 700.32

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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.