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Finding the Fourth Proportional to 849.84, 1,275.66 and 714.35

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Solution

The fourth proportional to 849.84, 1,275.66 and 714.35 is: 1,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.84 : 1,275.66 = 714.35 : x
  2. Step 2: Convert to fraction form
    849.84/1,275.66 = 714.35/x
  3. Step 3: Cross multiply
    849.84x = 1,275.66 × 714.35
  4. Step 4: Simplify right side
    849.84x = 911,261.34
  5. Step 5: Solve for x
    x = 911,261.34/849.84
  6. Step 6: Final answer
    x = 1,072.27

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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.