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Finding the Fourth Proportional to 1,509.35, 2,082.74 and 846.05

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Solution

The fourth proportional to 1,509.35, 2,082.74 and 846.05 is: 1,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.35 : 2,082.74 = 846.05 : x
  2. Step 2: Convert to fraction form
    1,509.35/2,082.74 = 846.05/x
  3. Step 3: Cross multiply
    1,509.35x = 2,082.74 × 846.05
  4. Step 4: Simplify right side
    1,509.35x = 1,762,087.53
  5. Step 5: Solve for x
    x = 1,762,087.53/1,509.35
  6. Step 6: Final answer
    x = 1,167.45

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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.