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Finding the Fourth Proportional to 713.79, 983.57 and 526.98

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Solution

The fourth proportional to 713.79, 983.57 and 526.98 is: 726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.79 : 983.57 = 526.98 : x
  2. Step 2: Convert to fraction form
    713.79/983.57 = 526.98/x
  3. Step 3: Cross multiply
    713.79x = 983.57 × 526.98
  4. Step 4: Simplify right side
    713.79x = 518,321.72
  5. Step 5: Solve for x
    x = 518,321.72/713.79
  6. Step 6: Final answer
    x = 726.15

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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.