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Finding the Fourth Proportional to 1,089.98, 1,635.09 and 473.75

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Solution

The fourth proportional to 1,089.98, 1,635.09 and 473.75 is: 710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.98 : 1,635.09 = 473.75 : x
  2. Step 2: Convert to fraction form
    1,089.98/1,635.09 = 473.75/x
  3. Step 3: Cross multiply
    1,089.98x = 1,635.09 × 473.75
  4. Step 4: Simplify right side
    1,089.98x = 774,615.71
  5. Step 5: Solve for x
    x = 774,615.71/1,089.98
  6. Step 6: Final answer
    x = 710.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.