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Finding the Fourth Proportional to 646.63, 973.40 and 557.32

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Solution

The fourth proportional to 646.63, 973.40 and 557.32 is: 838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.63 : 973.40 = 557.32 : x
  2. Step 2: Convert to fraction form
    646.63/973.40 = 557.32/x
  3. Step 3: Cross multiply
    646.63x = 973.40 × 557.32
  4. Step 4: Simplify right side
    646.63x = 542,495.29
  5. Step 5: Solve for x
    x = 542,495.29/646.63
  6. Step 6: Final answer
    x = 838.96

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Why These Related Problems?

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