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Finding the Fourth Proportional to 714.88, 1,072.32 and 469.64

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Solution

The fourth proportional to 714.88, 1,072.32 and 469.64 is: 704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.88 : 1,072.32 = 469.64 : x
  2. Step 2: Convert to fraction form
    714.88/1,072.32 = 469.64/x
  3. Step 3: Cross multiply
    714.88x = 1,072.32 × 469.64
  4. Step 4: Simplify right side
    714.88x = 503,599.00
  5. Step 5: Solve for x
    x = 503,599.00/714.88
  6. Step 6: Final answer
    x = 704.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.