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Finding the Fourth Proportional to 802.21, 1,197.80 and 714.53

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Solution

The fourth proportional to 802.21, 1,197.80 and 714.53 is: 1,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.21 : 1,197.80 = 714.53 : x
  2. Step 2: Convert to fraction form
    802.21/1,197.80 = 714.53/x
  3. Step 3: Cross multiply
    802.21x = 1,197.80 × 714.53
  4. Step 4: Simplify right side
    802.21x = 855,864.03
  5. Step 5: Solve for x
    x = 855,864.03/802.21
  6. Step 6: Final answer
    x = 1,066.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.