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Finding the Fourth Proportional to 1,032.66, 1,549.07 and 416.37

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Solution

The fourth proportional to 1,032.66, 1,549.07 and 416.37 is: 624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.66 : 1,549.07 = 416.37 : x
  2. Step 2: Convert to fraction form
    1,032.66/1,549.07 = 416.37/x
  3. Step 3: Cross multiply
    1,032.66x = 1,549.07 × 416.37
  4. Step 4: Simplify right side
    1,032.66x = 644,984.19
  5. Step 5: Solve for x
    x = 644,984.19/1,032.66
  6. Step 6: Final answer
    x = 624.59

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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.