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Finding the Fourth Proportional to 853.71, 1,177.61 and 538.41

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Solution

The fourth proportional to 853.71, 1,177.61 and 538.41 is: 742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.71 : 1,177.61 = 538.41 : x
  2. Step 2: Convert to fraction form
    853.71/1,177.61 = 538.41/x
  3. Step 3: Cross multiply
    853.71x = 1,177.61 × 538.41
  4. Step 4: Simplify right side
    853.71x = 634,038.72
  5. Step 5: Solve for x
    x = 634,038.72/853.71
  6. Step 6: Final answer
    x = 742.69

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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.