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Finding the Fourth Proportional to 1,164.86, 1,597.65 and 1,033.64

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Solution

The fourth proportional to 1,164.86, 1,597.65 and 1,033.64 is: 1,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.86 : 1,597.65 = 1,033.64 : x
  2. Step 2: Convert to fraction form
    1,164.86/1,597.65 = 1,033.64/x
  3. Step 3: Cross multiply
    1,164.86x = 1,597.65 × 1,033.64
  4. Step 4: Simplify right side
    1,164.86x = 1,651,386.96
  5. Step 5: Solve for x
    x = 1,651,386.96/1,164.86
  6. Step 6: Final answer
    x = 1,417.68

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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.