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Finding the Fourth Proportional to 980.48, 1,352.74 and 587.36

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Solution

The fourth proportional to 980.48, 1,352.74 and 587.36 is: 810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.48 : 1,352.74 = 587.36 : x
  2. Step 2: Convert to fraction form
    980.48/1,352.74 = 587.36/x
  3. Step 3: Cross multiply
    980.48x = 1,352.74 × 587.36
  4. Step 4: Simplify right side
    980.48x = 794,545.37
  5. Step 5: Solve for x
    x = 794,545.37/980.48
  6. Step 6: Final answer
    x = 810.36

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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.