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Finding the Fourth Proportional to 1,071.51, 1,606.31 and 421.75

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Solution

The fourth proportional to 1,071.51, 1,606.31 and 421.75 is: 632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.51 : 1,606.31 = 421.75 : x
  2. Step 2: Convert to fraction form
    1,071.51/1,606.31 = 421.75/x
  3. Step 3: Cross multiply
    1,071.51x = 1,606.31 × 421.75
  4. Step 4: Simplify right side
    1,071.51x = 677,461.24
  5. Step 5: Solve for x
    x = 677,461.24/1,071.51
  6. Step 6: Final answer
    x = 632.25

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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.