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Finding the Fourth Proportional to 645.54, 889.70 and 526.76

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Solution

The fourth proportional to 645.54, 889.70 and 526.76 is: 725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.54 : 889.70 = 526.76 : x
  2. Step 2: Convert to fraction form
    645.54/889.70 = 526.76/x
  3. Step 3: Cross multiply
    645.54x = 889.70 × 526.76
  4. Step 4: Simplify right side
    645.54x = 468,655.24
  5. Step 5: Solve for x
    x = 468,655.24/645.54
  6. Step 6: Final answer
    x = 725.99

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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.