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Finding the Fourth Proportional to 1,164.57, 1,746.64 and 434.01

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Solution

The fourth proportional to 1,164.57, 1,746.64 and 434.01 is: 650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.57 : 1,746.64 = 434.01 : x
  2. Step 2: Convert to fraction form
    1,164.57/1,746.64 = 434.01/x
  3. Step 3: Cross multiply
    1,164.57x = 1,746.64 × 434.01
  4. Step 4: Simplify right side
    1,164.57x = 758,059.23
  5. Step 5: Solve for x
    x = 758,059.23/1,164.57
  6. Step 6: Final answer
    x = 650.93

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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.