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Finding the Fourth Proportional to 1,163.58, 1,597.32 and 1,152.64

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Solution

The fourth proportional to 1,163.58, 1,597.32 and 1,152.64 is: 1,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.58 : 1,597.32 = 1,152.64 : x
  2. Step 2: Convert to fraction form
    1,163.58/1,597.32 = 1,152.64/x
  3. Step 3: Cross multiply
    1,163.58x = 1,597.32 × 1,152.64
  4. Step 4: Simplify right side
    1,163.58x = 1,841,134.92
  5. Step 5: Solve for x
    x = 1,841,134.92/1,163.58
  6. Step 6: Final answer
    x = 1,582.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.