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Finding the Fourth Proportional to 1,123.69, 1,550.68 and 651.68

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Solution

The fourth proportional to 1,123.69, 1,550.68 and 651.68 is: 899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.69 : 1,550.68 = 651.68 : x
  2. Step 2: Convert to fraction form
    1,123.69/1,550.68 = 651.68/x
  3. Step 3: Cross multiply
    1,123.69x = 1,550.68 × 651.68
  4. Step 4: Simplify right side
    1,123.69x = 1,010,543.05
  5. Step 5: Solve for x
    x = 1,010,543.05/1,123.69
  6. Step 6: Final answer
    x = 899.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.