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Finding the Fourth Proportional to 975.52, 1,455.26 and 942.58

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Solution

The fourth proportional to 975.52, 1,455.26 and 942.58 is: 1,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.52 : 1,455.26 = 942.58 : x
  2. Step 2: Convert to fraction form
    975.52/1,455.26 = 942.58/x
  3. Step 3: Cross multiply
    975.52x = 1,455.26 × 942.58
  4. Step 4: Simplify right side
    975.52x = 1,371,698.97
  5. Step 5: Solve for x
    x = 1,371,698.97/975.52
  6. Step 6: Final answer
    x = 1,406.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.