Home / 1,184.10-1,632.35-828.93

Finding the Fourth Proportional to 1,184.10, 1,632.35 and 828.93

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Solution

The fourth proportional to 1,184.10, 1,632.35 and 828.93 is: 1,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.10 : 1,632.35 = 828.93 : x
  2. Step 2: Convert to fraction form
    1,184.10/1,632.35 = 828.93/x
  3. Step 3: Cross multiply
    1,184.10x = 1,632.35 × 828.93
  4. Step 4: Simplify right side
    1,184.10x = 1,353,099.84
  5. Step 5: Solve for x
    x = 1,353,099.84/1,184.10
  6. Step 6: Final answer
    x = 1,142.72

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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.