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Finding the Fourth Proportional to 1,670.83, 2,506.47 and 696.70

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Solution

The fourth proportional to 1,670.83, 2,506.47 and 696.70 is: 1,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.83 : 2,506.47 = 696.70 : x
  2. Step 2: Convert to fraction form
    1,670.83/2,506.47 = 696.70/x
  3. Step 3: Cross multiply
    1,670.83x = 2,506.47 × 696.70
  4. Step 4: Simplify right side
    1,670.83x = 1,746,257.65
  5. Step 5: Solve for x
    x = 1,746,257.65/1,670.83
  6. Step 6: Final answer
    x = 1,045.14

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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.