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Finding the Fourth Proportional to 1,148.23, 1,722.62 and 417.84

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Solution

The fourth proportional to 1,148.23, 1,722.62 and 417.84 is: 626.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.23 : 1,722.62 = 417.84 : x
  2. Step 2: Convert to fraction form
    1,148.23/1,722.62 = 417.84/x
  3. Step 3: Cross multiply
    1,148.23x = 1,722.62 × 417.84
  4. Step 4: Simplify right side
    1,148.23x = 719,779.54
  5. Step 5: Solve for x
    x = 719,779.54/1,148.23
  6. Step 6: Final answer
    x = 626.86

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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.