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Finding the Fourth Proportional to 1,565.41, 2,348.43 and 469.84

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Solution

The fourth proportional to 1,565.41, 2,348.43 and 469.84 is: 704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.41 : 2,348.43 = 469.84 : x
  2. Step 2: Convert to fraction form
    1,565.41/2,348.43 = 469.84/x
  3. Step 3: Cross multiply
    1,565.41x = 2,348.43 × 469.84
  4. Step 4: Simplify right side
    1,565.41x = 1,103,386.35
  5. Step 5: Solve for x
    x = 1,103,386.35/1,565.41
  6. Step 6: Final answer
    x = 704.85

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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.