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Finding the Fourth Proportional to 979.16, 1,350.96 and 647.47

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Solution

The fourth proportional to 979.16, 1,350.96 and 647.47 is: 893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.16 : 1,350.96 = 647.47 : x
  2. Step 2: Convert to fraction form
    979.16/1,350.96 = 647.47/x
  3. Step 3: Cross multiply
    979.16x = 1,350.96 × 647.47
  4. Step 4: Simplify right side
    979.16x = 874,699.32
  5. Step 5: Solve for x
    x = 874,699.32/979.16
  6. Step 6: Final answer
    x = 893.32

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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.