Home / 1,470.25-2,029.60-911.48

Finding the Fourth Proportional to 1,470.25, 2,029.60 and 911.48

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Solution

The fourth proportional to 1,470.25, 2,029.60 and 911.48 is: 1,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.25 : 2,029.60 = 911.48 : x
  2. Step 2: Convert to fraction form
    1,470.25/2,029.60 = 911.48/x
  3. Step 3: Cross multiply
    1,470.25x = 2,029.60 × 911.48
  4. Step 4: Simplify right side
    1,470.25x = 1,849,939.81
  5. Step 5: Solve for x
    x = 1,849,939.81/1,470.25
  6. Step 6: Final answer
    x = 1,258.25

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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.