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Finding the Fourth Proportional to 1,768.54, 2,652.82 and 470.04

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Solution

The fourth proportional to 1,768.54, 2,652.82 and 470.04 is: 705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.54 : 2,652.82 = 470.04 : x
  2. Step 2: Convert to fraction form
    1,768.54/2,652.82 = 470.04/x
  3. Step 3: Cross multiply
    1,768.54x = 2,652.82 × 470.04
  4. Step 4: Simplify right side
    1,768.54x = 1,246,931.51
  5. Step 5: Solve for x
    x = 1,246,931.51/1,768.54
  6. Step 6: Final answer
    x = 705.06

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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.