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Finding the Fourth Proportional to 975.86, 1,346.68 and 556.23

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Solution

The fourth proportional to 975.86, 1,346.68 and 556.23 is: 767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.86 : 1,346.68 = 556.23 : x
  2. Step 2: Convert to fraction form
    975.86/1,346.68 = 556.23/x
  3. Step 3: Cross multiply
    975.86x = 1,346.68 × 556.23
  4. Step 4: Simplify right side
    975.86x = 749,055.07
  5. Step 5: Solve for x
    x = 749,055.07/975.86
  6. Step 6: Final answer
    x = 767.59

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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.