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Finding the Fourth Proportional to 1,061.48, 1,597.08 and 628.94

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Solution

The fourth proportional to 1,061.48, 1,597.08 and 628.94 is: 946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.48 : 1,597.08 = 628.94 : x
  2. Step 2: Convert to fraction form
    1,061.48/1,597.08 = 628.94/x
  3. Step 3: Cross multiply
    1,061.48x = 1,597.08 × 628.94
  4. Step 4: Simplify right side
    1,061.48x = 1,004,467.50
  5. Step 5: Solve for x
    x = 1,004,467.50/1,061.48
  6. Step 6: Final answer
    x = 946.29

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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.