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Finding the Fourth Proportional to 1,565.06, 2,347.67 and 469.44

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Solution

The fourth proportional to 1,565.06, 2,347.67 and 469.44 is: 704.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.06 : 2,347.67 = 469.44 : x
  2. Step 2: Convert to fraction form
    1,565.06/2,347.67 = 469.44/x
  3. Step 3: Cross multiply
    1,565.06x = 2,347.67 × 469.44
  4. Step 4: Simplify right side
    1,565.06x = 1,102,091.38
  5. Step 5: Solve for x
    x = 1,102,091.38/1,565.06
  6. Step 6: Final answer
    x = 704.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.