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Finding the Fourth Proportional to 1,569.41, 2,353.21 and 594.98

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Solution

The fourth proportional to 1,569.41, 2,353.21 and 594.98 is: 892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.41 : 2,353.21 = 594.98 : x
  2. Step 2: Convert to fraction form
    1,569.41/2,353.21 = 594.98/x
  3. Step 3: Cross multiply
    1,569.41x = 2,353.21 × 594.98
  4. Step 4: Simplify right side
    1,569.41x = 1,400,123.37
  5. Step 5: Solve for x
    x = 1,400,123.37/1,569.41
  6. Step 6: Final answer
    x = 892.13

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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.