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Finding the Fourth Proportional to 660.68, 910.53 and 526.89

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Solution

The fourth proportional to 660.68, 910.53 and 526.89 is: 726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.68 : 910.53 = 526.89 : x
  2. Step 2: Convert to fraction form
    660.68/910.53 = 526.89/x
  3. Step 3: Cross multiply
    660.68x = 910.53 × 526.89
  4. Step 4: Simplify right side
    660.68x = 479,749.15
  5. Step 5: Solve for x
    x = 479,749.15/660.68
  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.