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Finding the Fourth Proportional to 646.04, 890.44 and 552.80

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Solution

The fourth proportional to 646.04, 890.44 and 552.80 is: 761.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.04 : 890.44 = 552.80 : x
  2. Step 2: Convert to fraction form
    646.04/890.44 = 552.80/x
  3. Step 3: Cross multiply
    646.04x = 890.44 × 552.80
  4. Step 4: Simplify right side
    646.04x = 492,235.23
  5. Step 5: Solve for x
    x = 492,235.23/646.04
  6. Step 6: Final answer
    x = 761.93

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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.