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Finding the Fourth Proportional to 1,218.36, 1,681.56 and 776.40

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Solution

The fourth proportional to 1,218.36, 1,681.56 and 776.40 is: 1,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.36 : 1,681.56 = 776.40 : x
  2. Step 2: Convert to fraction form
    1,218.36/1,681.56 = 776.40/x
  3. Step 3: Cross multiply
    1,218.36x = 1,681.56 × 776.40
  4. Step 4: Simplify right side
    1,218.36x = 1,305,563.18
  5. Step 5: Solve for x
    x = 1,305,563.18/1,218.36
  6. Step 6: Final answer
    x = 1,071.57

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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.