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Finding the Fourth Proportional to 1,164.99, 1,746.44 and 434.07

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Solution

The fourth proportional to 1,164.99, 1,746.44 and 434.07 is: 650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.99 : 1,746.44 = 434.07 : x
  2. Step 2: Convert to fraction form
    1,164.99/1,746.44 = 434.07/x
  3. Step 3: Cross multiply
    1,164.99x = 1,746.44 × 434.07
  4. Step 4: Simplify right side
    1,164.99x = 758,082.66
  5. Step 5: Solve for x
    x = 758,082.66/1,164.99
  6. Step 6: Final answer
    x = 650.72

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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.