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Finding the Fourth Proportional to 1,043.03, 1,557.01 and 967.02

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Solution

The fourth proportional to 1,043.03, 1,557.01 and 967.02 is: 1,443.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.03 : 1,557.01 = 967.02 : x
  2. Step 2: Convert to fraction form
    1,043.03/1,557.01 = 967.02/x
  3. Step 3: Cross multiply
    1,043.03x = 1,557.01 × 967.02
  4. Step 4: Simplify right side
    1,043.03x = 1,505,657.39
  5. Step 5: Solve for x
    x = 1,505,657.39/1,043.03
  6. Step 6: Final answer
    x = 1,443.55

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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.