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Finding the Fourth Proportional to 1,210.44, 1,672.74 and 977.16

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Solution

The fourth proportional to 1,210.44, 1,672.74 and 977.16 is: 1,350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.44 : 1,672.74 = 977.16 : x
  2. Step 2: Convert to fraction form
    1,210.44/1,672.74 = 977.16/x
  3. Step 3: Cross multiply
    1,210.44x = 1,672.74 × 977.16
  4. Step 4: Simplify right side
    1,210.44x = 1,634,534.62
  5. Step 5: Solve for x
    x = 1,634,534.62/1,210.44
  6. Step 6: Final answer
    x = 1,350.36

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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.