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Finding the Fourth Proportional to 1,420.16, 1,959.86 and 830.68

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Solution

The fourth proportional to 1,420.16, 1,959.86 and 830.68 is: 1,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.16 : 1,959.86 = 830.68 : x
  2. Step 2: Convert to fraction form
    1,420.16/1,959.86 = 830.68/x
  3. Step 3: Cross multiply
    1,420.16x = 1,959.86 × 830.68
  4. Step 4: Simplify right side
    1,420.16x = 1,628,013.68
  5. Step 5: Solve for x
    x = 1,628,013.68/1,420.16
  6. Step 6: Final answer
    x = 1,146.36

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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.