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Finding the Fourth Proportional to 673.75, 926.99 and 526.13

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Solution

The fourth proportional to 673.75, 926.99 and 526.13 is: 723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.75 : 926.99 = 526.13 : x
  2. Step 2: Convert to fraction form
    673.75/926.99 = 526.13/x
  3. Step 3: Cross multiply
    673.75x = 926.99 × 526.13
  4. Step 4: Simplify right side
    673.75x = 487,718.39
  5. Step 5: Solve for x
    x = 487,718.39/673.75
  6. Step 6: Final answer
    x = 723.88

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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.