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Finding the Fourth Proportional to 1,032.34, 1,548.60 and 416.02

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Solution

The fourth proportional to 1,032.34, 1,548.60 and 416.02 is: 624.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.34 : 1,548.60 = 416.02 : x
  2. Step 2: Convert to fraction form
    1,032.34/1,548.60 = 416.02/x
  3. Step 3: Cross multiply
    1,032.34x = 1,548.60 × 416.02
  4. Step 4: Simplify right side
    1,032.34x = 644,248.57
  5. Step 5: Solve for x
    x = 644,248.57/1,032.34
  6. Step 6: Final answer
    x = 624.07

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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.