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Finding the Fourth Proportional to 1,125.96, 1,688.93 and 304.31

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Solution

The fourth proportional to 1,125.96, 1,688.93 and 304.31 is: 456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.96 : 1,688.93 = 304.31 : x
  2. Step 2: Convert to fraction form
    1,125.96/1,688.93 = 304.31/x
  3. Step 3: Cross multiply
    1,125.96x = 1,688.93 × 304.31
  4. Step 4: Simplify right side
    1,125.96x = 513,958.29
  5. Step 5: Solve for x
    x = 513,958.29/1,125.96
  6. Step 6: Final answer
    x = 456.46

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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.