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Finding the Fourth Proportional to 1,470.16, 2,028.82 and 807

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Solution

The fourth proportional to 1,470.16, 2,028.82 and 807 is: 1,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.16 : 2,028.82 = 807 : x
  2. Step 2: Convert to fraction form
    1,470.16/2,028.82 = 807/x
  3. Step 3: Cross multiply
    1,470.16x = 2,028.82 × 807
  4. Step 4: Simplify right side
    1,470.16x = 1,637,257.74
  5. Step 5: Solve for x
    x = 1,637,257.74/1,470.16
  6. Step 6: Final answer
    x = 1,113.66

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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.