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Finding the Fourth Proportional to 1,219.37, 1,680.76 and 953.34

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Solution

The fourth proportional to 1,219.37, 1,680.76 and 953.34 is: 1,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.37 : 1,680.76 = 953.34 : x
  2. Step 2: Convert to fraction form
    1,219.37/1,680.76 = 953.34/x
  3. Step 3: Cross multiply
    1,219.37x = 1,680.76 × 953.34
  4. Step 4: Simplify right side
    1,219.37x = 1,602,335.74
  5. Step 5: Solve for x
    x = 1,602,335.74/1,219.37
  6. Step 6: Final answer
    x = 1,314.07

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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.