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Finding the Fourth Proportional to 1,046.31, 1,564.47 and 954.51

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Solution

The fourth proportional to 1,046.31, 1,564.47 and 954.51 is: 1,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.31 : 1,564.47 = 954.51 : x
  2. Step 2: Convert to fraction form
    1,046.31/1,564.47 = 954.51/x
  3. Step 3: Cross multiply
    1,046.31x = 1,564.47 × 954.51
  4. Step 4: Simplify right side
    1,046.31x = 1,493,302.26
  5. Step 5: Solve for x
    x = 1,493,302.26/1,046.31
  6. Step 6: Final answer
    x = 1,427.21

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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.