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Finding the Fourth Proportional to 1,166.71, 1,750.76 and 436.81

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Solution

The fourth proportional to 1,166.71, 1,750.76 and 436.81 is: 655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.71 : 1,750.76 = 436.81 : x
  2. Step 2: Convert to fraction form
    1,166.71/1,750.76 = 436.81/x
  3. Step 3: Cross multiply
    1,166.71x = 1,750.76 × 436.81
  4. Step 4: Simplify right side
    1,166.71x = 764,749.48
  5. Step 5: Solve for x
    x = 764,749.48/1,166.71
  6. Step 6: Final answer
    x = 655.48

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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.