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Finding the Fourth Proportional to 1,096.77, 1,642.19 and 899.67

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Solution

The fourth proportional to 1,096.77, 1,642.19 and 899.67 is: 1,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.77 : 1,642.19 = 899.67 : x
  2. Step 2: Convert to fraction form
    1,096.77/1,642.19 = 899.67/x
  3. Step 3: Cross multiply
    1,096.77x = 1,642.19 × 899.67
  4. Step 4: Simplify right side
    1,096.77x = 1,477,424.58
  5. Step 5: Solve for x
    x = 1,477,424.58/1,096.77
  6. Step 6: Final answer
    x = 1,347.07

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Why These Related Problems?

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