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Finding the Fourth Proportional to 1,123.29, 1,549.82 and 651.09

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Solution

The fourth proportional to 1,123.29, 1,549.82 and 651.09 is: 898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.29 : 1,549.82 = 651.09 : x
  2. Step 2: Convert to fraction form
    1,123.29/1,549.82 = 651.09/x
  3. Step 3: Cross multiply
    1,123.29x = 1,549.82 × 651.09
  4. Step 4: Simplify right side
    1,123.29x = 1,009,071.14
  5. Step 5: Solve for x
    x = 1,009,071.14/1,123.29
  6. Step 6: Final answer
    x = 898.32

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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.