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Finding the Fourth Proportional to 1,569.96, 2,356.38 and 748.80

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Solution

The fourth proportional to 1,569.96, 2,356.38 and 748.80 is: 1,123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.96 : 2,356.38 = 748.80 : x
  2. Step 2: Convert to fraction form
    1,569.96/2,356.38 = 748.80/x
  3. Step 3: Cross multiply
    1,569.96x = 2,356.38 × 748.80
  4. Step 4: Simplify right side
    1,569.96x = 1,764,457.34
  5. Step 5: Solve for x
    x = 1,764,457.34/1,569.96
  6. Step 6: Final answer
    x = 1,123.89

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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.