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Finding the Fourth Proportional to 1,032.12, 1,548.16 and 415.81

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Solution

The fourth proportional to 1,032.12, 1,548.16 and 415.81 is: 623.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.12 : 1,548.16 = 415.81 : x
  2. Step 2: Convert to fraction form
    1,032.12/1,548.16 = 415.81/x
  3. Step 3: Cross multiply
    1,032.12x = 1,548.16 × 415.81
  4. Step 4: Simplify right side
    1,032.12x = 643,730.85
  5. Step 5: Solve for x
    x = 643,730.85/1,032.12
  6. Step 6: Final answer
    x = 623.70

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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.