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Finding the Fourth Proportional to 1,165.12, 1,754.62 and 1,050.88

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Solution

The fourth proportional to 1,165.12, 1,754.62 and 1,050.88 is: 1,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.12 : 1,754.62 = 1,050.88 : x
  2. Step 2: Convert to fraction form
    1,165.12/1,754.62 = 1,050.88/x
  3. Step 3: Cross multiply
    1,165.12x = 1,754.62 × 1,050.88
  4. Step 4: Simplify right side
    1,165.12x = 1,843,895.07
  5. Step 5: Solve for x
    x = 1,843,895.07/1,165.12
  6. Step 6: Final answer
    x = 1,582.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.