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Finding the Fourth Proportional to 1,354.31, 2,032.01 and 476.93

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Solution

The fourth proportional to 1,354.31, 2,032.01 and 476.93 is: 715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.31 : 2,032.01 = 476.93 : x
  2. Step 2: Convert to fraction form
    1,354.31/2,032.01 = 476.93/x
  3. Step 3: Cross multiply
    1,354.31x = 2,032.01 × 476.93
  4. Step 4: Simplify right side
    1,354.31x = 969,118.07
  5. Step 5: Solve for x
    x = 969,118.07/1,354.31
  6. Step 6: Final answer
    x = 715.58

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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.