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Finding the Fourth Proportional to 1,382.48, 1,907.40 and 967.76

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Solution

The fourth proportional to 1,382.48, 1,907.40 and 967.76 is: 1,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.48 : 1,907.40 = 967.76 : x
  2. Step 2: Convert to fraction form
    1,382.48/1,907.40 = 967.76/x
  3. Step 3: Cross multiply
    1,382.48x = 1,907.40 × 967.76
  4. Step 4: Simplify right side
    1,382.48x = 1,845,905.42
  5. Step 5: Solve for x
    x = 1,845,905.42/1,382.48
  6. Step 6: Final answer
    x = 1,335.21

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1.5x scale

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.