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Finding the Fourth Proportional to 1,307.88, 1,804.26 and 975.72

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Solution

The fourth proportional to 1,307.88, 1,804.26 and 975.72 is: 1,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.88 : 1,804.26 = 975.72 : x
  2. Step 2: Convert to fraction form
    1,307.88/1,804.26 = 975.72/x
  3. Step 3: Cross multiply
    1,307.88x = 1,804.26 × 975.72
  4. Step 4: Simplify right side
    1,307.88x = 1,760,452.57
  5. Step 5: Solve for x
    x = 1,760,452.57/1,307.88
  6. Step 6: Final answer
    x = 1,346.04

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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.