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Finding the Fourth Proportional to 838.80, 1,157.58 and 489.48

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Solution

The fourth proportional to 838.80, 1,157.58 and 489.48 is: 675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.80 : 1,157.58 = 489.48 : x
  2. Step 2: Convert to fraction form
    838.80/1,157.58 = 489.48/x
  3. Step 3: Cross multiply
    838.80x = 1,157.58 × 489.48
  4. Step 4: Simplify right side
    838.80x = 566,612.26
  5. Step 5: Solve for x
    x = 566,612.26/838.80
  6. Step 6: Final answer
    x = 675.50

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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.