Home / 1,056.25-1,584.38-286.75

Finding the Fourth Proportional to 1,056.25, 1,584.38 and 286.75

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Solution

The fourth proportional to 1,056.25, 1,584.38 and 286.75 is: 430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.25 : 1,584.38 = 286.75 : x
  2. Step 2: Convert to fraction form
    1,056.25/1,584.38 = 286.75/x
  3. Step 3: Cross multiply
    1,056.25x = 1,584.38 × 286.75
  4. Step 4: Simplify right side
    1,056.25x = 454,320.97
  5. Step 5: Solve for x
    x = 454,320.97/1,056.25
  6. Step 6: Final answer
    x = 430.13

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Half scale
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Double scale
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1.5x scale

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.