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Finding the Fourth Proportional to 1,356.51, 2,034.12 and 698.72

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Solution

The fourth proportional to 1,356.51, 2,034.12 and 698.72 is: 1,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.51 : 2,034.12 = 698.72 : x
  2. Step 2: Convert to fraction form
    1,356.51/2,034.12 = 698.72/x
  3. Step 3: Cross multiply
    1,356.51x = 2,034.12 × 698.72
  4. Step 4: Simplify right side
    1,356.51x = 1,421,270.16
  5. Step 5: Solve for x
    x = 1,421,270.16/1,356.51
  6. Step 6: Final answer
    x = 1,047.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.