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Finding the Fourth Proportional to 1,118.79, 1,674.67 and 770.08

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Solution

The fourth proportional to 1,118.79, 1,674.67 and 770.08 is: 1,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.79 : 1,674.67 = 770.08 : x
  2. Step 2: Convert to fraction form
    1,118.79/1,674.67 = 770.08/x
  3. Step 3: Cross multiply
    1,118.79x = 1,674.67 × 770.08
  4. Step 4: Simplify right side
    1,118.79x = 1,289,629.87
  5. Step 5: Solve for x
    x = 1,289,629.87/1,118.79
  6. Step 6: Final answer
    x = 1,152.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.