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Finding the Fourth Proportional to 952.26, 1,312.66 and 657.01

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Solution

The fourth proportional to 952.26, 1,312.66 and 657.01 is: 905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.26 : 1,312.66 = 657.01 : x
  2. Step 2: Convert to fraction form
    952.26/1,312.66 = 657.01/x
  3. Step 3: Cross multiply
    952.26x = 1,312.66 × 657.01
  4. Step 4: Simplify right side
    952.26x = 862,429.51
  5. Step 5: Solve for x
    x = 862,429.51/952.26
  6. Step 6: Final answer
    x = 905.67

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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.