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Finding the Fourth Proportional to 1,043.21, 1,564.29 and 714.65

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Solution

The fourth proportional to 1,043.21, 1,564.29 and 714.65 is: 1,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.21 : 1,564.29 = 714.65 : x
  2. Step 2: Convert to fraction form
    1,043.21/1,564.29 = 714.65/x
  3. Step 3: Cross multiply
    1,043.21x = 1,564.29 × 714.65
  4. Step 4: Simplify right side
    1,043.21x = 1,117,912.03
  5. Step 5: Solve for x
    x = 1,117,912.03/1,043.21
  6. Step 6: Final answer
    x = 1,071.61

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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.