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Finding the Fourth Proportional to 1,470.24, 2,028.92 and 807.10

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Solution

The fourth proportional to 1,470.24, 2,028.92 and 807.10 is: 1,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.24 : 2,028.92 = 807.10 : x
  2. Step 2: Convert to fraction form
    1,470.24/2,028.92 = 807.10/x
  3. Step 3: Cross multiply
    1,470.24x = 2,028.92 × 807.10
  4. Step 4: Simplify right side
    1,470.24x = 1,637,541.33
  5. Step 5: Solve for x
    x = 1,637,541.33/1,470.24
  6. Step 6: Final answer
    x = 1,113.79

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1.5x scale

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.