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Finding the Fourth Proportional to 713.45, 984.53 and 526.87

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Solution

The fourth proportional to 713.45, 984.53 and 526.87 is: 727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.45 : 984.53 = 526.87 : x
  2. Step 2: Convert to fraction form
    713.45/984.53 = 526.87/x
  3. Step 3: Cross multiply
    713.45x = 984.53 × 526.87
  4. Step 4: Simplify right side
    713.45x = 518,719.32
  5. Step 5: Solve for x
    x = 518,719.32/713.45
  6. Step 6: Final answer
    x = 727.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.