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Finding the Fourth Proportional to 713.64, 1,070.06 and 425.28

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Solution

The fourth proportional to 713.64, 1,070.06 and 425.28 is: 637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.64 : 1,070.06 = 425.28 : x
  2. Step 2: Convert to fraction form
    713.64/1,070.06 = 425.28/x
  3. Step 3: Cross multiply
    713.64x = 1,070.06 × 425.28
  4. Step 4: Simplify right side
    713.64x = 455,072.99
  5. Step 5: Solve for x
    x = 455,072.99/713.64
  6. Step 6: Final answer
    x = 637.68

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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.