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Finding the Fourth Proportional to 1,146.15, 1,580.58 and 852.12

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Solution

The fourth proportional to 1,146.15, 1,580.58 and 852.12 is: 1,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.15 : 1,580.58 = 852.12 : x
  2. Step 2: Convert to fraction form
    1,146.15/1,580.58 = 852.12/x
  3. Step 3: Cross multiply
    1,146.15x = 1,580.58 × 852.12
  4. Step 4: Simplify right side
    1,146.15x = 1,346,843.83
  5. Step 5: Solve for x
    x = 1,346,843.83/1,146.15
  6. Step 6: Final answer
    x = 1,175.10

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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.