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Finding the Fourth Proportional to 1,125.46, 1,688.00 and 303.54

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Solution

The fourth proportional to 1,125.46, 1,688.00 and 303.54 is: 455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.46 : 1,688.00 = 303.54 : x
  2. Step 2: Convert to fraction form
    1,125.46/1,688.00 = 303.54/x
  3. Step 3: Cross multiply
    1,125.46x = 1,688.00 × 303.54
  4. Step 4: Simplify right side
    1,125.46x = 512,379.46
  5. Step 5: Solve for x
    x = 512,379.46/1,125.46
  6. Step 6: Final answer
    x = 455.26

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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.