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Finding the Fourth Proportional to 646.13, 972.65 and 556.82

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Solution

The fourth proportional to 646.13, 972.65 and 556.82 is: 838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.13 : 972.65 = 556.82 : x
  2. Step 2: Convert to fraction form
    646.13/972.65 = 556.82/x
  3. Step 3: Cross multiply
    646.13x = 972.65 × 556.82
  4. Step 4: Simplify right side
    646.13x = 541,590.97
  5. Step 5: Solve for x
    x = 541,590.97/646.13
  6. Step 6: Final answer
    x = 838.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.