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Finding the Fourth Proportional to 1,167.69, 1,613.74 and 957.55

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Solution

The fourth proportional to 1,167.69, 1,613.74 and 957.55 is: 1,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.69 : 1,613.74 = 957.55 : x
  2. Step 2: Convert to fraction form
    1,167.69/1,613.74 = 957.55/x
  3. Step 3: Cross multiply
    1,167.69x = 1,613.74 × 957.55
  4. Step 4: Simplify right side
    1,167.69x = 1,545,236.74
  5. Step 5: Solve for x
    x = 1,545,236.74/1,167.69
  6. Step 6: Final answer
    x = 1,323.33

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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.