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Finding the Fourth Proportional to 1,235.31, 1,854.40 and 975.48

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Solution

The fourth proportional to 1,235.31, 1,854.40 and 975.48 is: 1,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.31 : 1,854.40 = 975.48 : x
  2. Step 2: Convert to fraction form
    1,235.31/1,854.40 = 975.48/x
  3. Step 3: Cross multiply
    1,235.31x = 1,854.40 × 975.48
  4. Step 4: Simplify right side
    1,235.31x = 1,808,930.11
  5. Step 5: Solve for x
    x = 1,808,930.11/1,235.31
  6. Step 6: Final answer
    x = 1,464.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.