Home / 1,210.08-1,670.70-784.92

Finding the Fourth Proportional to 1,210.08, 1,670.70 and 784.92

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Solution

The fourth proportional to 1,210.08, 1,670.70 and 784.92 is: 1,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.08 : 1,670.70 = 784.92 : x
  2. Step 2: Convert to fraction form
    1,210.08/1,670.70 = 784.92/x
  3. Step 3: Cross multiply
    1,210.08x = 1,670.70 × 784.92
  4. Step 4: Simplify right side
    1,210.08x = 1,311,365.84
  5. Step 5: Solve for x
    x = 1,311,365.84/1,210.08
  6. Step 6: Final answer
    x = 1,083.70

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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.