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Finding the Fourth Proportional to 714.97, 1,071.64 and 304.03

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Solution

The fourth proportional to 714.97, 1,071.64 and 304.03 is: 455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.97 : 1,071.64 = 304.03 : x
  2. Step 2: Convert to fraction form
    714.97/1,071.64 = 304.03/x
  3. Step 3: Cross multiply
    714.97x = 1,071.64 × 304.03
  4. Step 4: Simplify right side
    714.97x = 325,810.71
  5. Step 5: Solve for x
    x = 325,810.71/714.97
  6. Step 6: Final answer
    x = 455.70

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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.