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Finding the Fourth Proportional to 1,807, 2,708.86 and 652.48

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Solution

The fourth proportional to 1,807, 2,708.86 and 652.48 is: 978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807 : 2,708.86 = 652.48 : x
  2. Step 2: Convert to fraction form
    1,807/2,708.86 = 652.48/x
  3. Step 3: Cross multiply
    1,807x = 2,708.86 × 652.48
  4. Step 4: Simplify right side
    1,807x = 1,767,476.97
  5. Step 5: Solve for x
    x = 1,767,476.97/1,807
  6. Step 6: Final answer
    x = 978.13

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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.