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Finding the Fourth Proportional to 1,431.50, 2,146.92 and 807.07

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Solution

The fourth proportional to 1,431.50, 2,146.92 and 807.07 is: 1,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.50 : 2,146.92 = 807.07 : x
  2. Step 2: Convert to fraction form
    1,431.50/2,146.92 = 807.07/x
  3. Step 3: Cross multiply
    1,431.50x = 2,146.92 × 807.07
  4. Step 4: Simplify right side
    1,431.50x = 1,732,714.72
  5. Step 5: Solve for x
    x = 1,732,714.72/1,431.50
  6. Step 6: Final answer
    x = 1,210.42

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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.