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Finding the Fourth Proportional to 1,359.42, 2,038.63 and 469.72

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Solution

The fourth proportional to 1,359.42, 2,038.63 and 469.72 is: 704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.42 : 2,038.63 = 469.72 : x
  2. Step 2: Convert to fraction form
    1,359.42/2,038.63 = 469.72/x
  3. Step 3: Cross multiply
    1,359.42x = 2,038.63 × 469.72
  4. Step 4: Simplify right side
    1,359.42x = 957,586.66
  5. Step 5: Solve for x
    x = 957,586.66/1,359.42
  6. Step 6: Final answer
    x = 704.41

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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.