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Finding the Fourth Proportional to 1,210.49, 1,670.51 and 857.04

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Solution

The fourth proportional to 1,210.49, 1,670.51 and 857.04 is: 1,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.49 : 1,670.51 = 857.04 : x
  2. Step 2: Convert to fraction form
    1,210.49/1,670.51 = 857.04/x
  3. Step 3: Cross multiply
    1,210.49x = 1,670.51 × 857.04
  4. Step 4: Simplify right side
    1,210.49x = 1,431,696.03
  5. Step 5: Solve for x
    x = 1,431,696.03/1,210.49
  6. Step 6: Final answer
    x = 1,182.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.