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Finding the Fourth Proportional to 975.27, 1,346.58 and 602.76

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Solution

The fourth proportional to 975.27, 1,346.58 and 602.76 is: 832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.27 : 1,346.58 = 602.76 : x
  2. Step 2: Convert to fraction form
    975.27/1,346.58 = 602.76/x
  3. Step 3: Cross multiply
    975.27x = 1,346.58 × 602.76
  4. Step 4: Simplify right side
    975.27x = 811,664.98
  5. Step 5: Solve for x
    x = 811,664.98/975.27
  6. Step 6: Final answer
    x = 832.25

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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.