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Finding the Fourth Proportional to 1,291.18, 1,935.94 and 714.46

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Solution

The fourth proportional to 1,291.18, 1,935.94 and 714.46 is: 1,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.18 : 1,935.94 = 714.46 : x
  2. Step 2: Convert to fraction form
    1,291.18/1,935.94 = 714.46/x
  3. Step 3: Cross multiply
    1,291.18x = 1,935.94 × 714.46
  4. Step 4: Simplify right side
    1,291.18x = 1,383,151.69
  5. Step 5: Solve for x
    x = 1,383,151.69/1,291.18
  6. Step 6: Final answer
    x = 1,071.23

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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.