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Finding the Fourth Proportional to 1,269.52, 1,904.26 and 714.22

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Solution

The fourth proportional to 1,269.52, 1,904.26 and 714.22 is: 1,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.52 : 1,904.26 = 714.22 : x
  2. Step 2: Convert to fraction form
    1,269.52/1,904.26 = 714.22/x
  3. Step 3: Cross multiply
    1,269.52x = 1,904.26 × 714.22
  4. Step 4: Simplify right side
    1,269.52x = 1,360,055.37
  5. Step 5: Solve for x
    x = 1,360,055.37/1,269.52
  6. Step 6: Final answer
    x = 1,071.31

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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.