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Finding the Fourth Proportional to 833.43, 1,148.25 and 646.26

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Solution

The fourth proportional to 833.43, 1,148.25 and 646.26 is: 890.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.43 : 1,148.25 = 646.26 : x
  2. Step 2: Convert to fraction form
    833.43/1,148.25 = 646.26/x
  3. Step 3: Cross multiply
    833.43x = 1,148.25 × 646.26
  4. Step 4: Simplify right side
    833.43x = 742,068.05
  5. Step 5: Solve for x
    x = 742,068.05/833.43
  6. Step 6: Final answer
    x = 890.38

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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.