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Finding the Fourth Proportional to 1,148.76, 1,722.15 and 714.96

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Solution

The fourth proportional to 1,148.76, 1,722.15 and 714.96 is: 1,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.76 : 1,722.15 = 714.96 : x
  2. Step 2: Convert to fraction form
    1,148.76/1,722.15 = 714.96/x
  3. Step 3: Cross multiply
    1,148.76x = 1,722.15 × 714.96
  4. Step 4: Simplify right side
    1,148.76x = 1,231,268.36
  5. Step 5: Solve for x
    x = 1,231,268.36/1,148.76
  6. Step 6: Final answer
    x = 1,071.82

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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.