Home / 1,284.02-1,926.14-800.16

Finding the Fourth Proportional to 1,284.02, 1,926.14 and 800.16

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Solution

The fourth proportional to 1,284.02, 1,926.14 and 800.16 is: 1,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.02 : 1,926.14 = 800.16 : x
  2. Step 2: Convert to fraction form
    1,284.02/1,926.14 = 800.16/x
  3. Step 3: Cross multiply
    1,284.02x = 1,926.14 × 800.16
  4. Step 4: Simplify right side
    1,284.02x = 1,541,220.18
  5. Step 5: Solve for x
    x = 1,541,220.18/1,284.02
  6. Step 6: Final answer
    x = 1,200.31

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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.