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Finding the Fourth Proportional to 843.64, 1,264.69 and 714.48

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Solution

The fourth proportional to 843.64, 1,264.69 and 714.48 is: 1,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.64 : 1,264.69 = 714.48 : x
  2. Step 2: Convert to fraction form
    843.64/1,264.69 = 714.48/x
  3. Step 3: Cross multiply
    843.64x = 1,264.69 × 714.48
  4. Step 4: Simplify right side
    843.64x = 903,595.71
  5. Step 5: Solve for x
    x = 903,595.71/843.64
  6. Step 6: Final answer
    x = 1,071.07

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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.