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Finding the Fourth Proportional to 1,569.51, 2,353.83 and 473.91

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Solution

The fourth proportional to 1,569.51, 2,353.83 and 473.91 is: 710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.51 : 2,353.83 = 473.91 : x
  2. Step 2: Convert to fraction form
    1,569.51/2,353.83 = 473.91/x
  3. Step 3: Cross multiply
    1,569.51x = 2,353.83 × 473.91
  4. Step 4: Simplify right side
    1,569.51x = 1,115,503.58
  5. Step 5: Solve for x
    x = 1,115,503.58/1,569.51
  6. Step 6: Final answer
    x = 710.73

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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.