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Finding the Fourth Proportional to 1,030.52, 1,537.23 and 967.65

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Solution

The fourth proportional to 1,030.52, 1,537.23 and 967.65 is: 1,443.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.52 : 1,537.23 = 967.65 : x
  2. Step 2: Convert to fraction form
    1,030.52/1,537.23 = 967.65/x
  3. Step 3: Cross multiply
    1,030.52x = 1,537.23 × 967.65
  4. Step 4: Simplify right side
    1,030.52x = 1,487,493.03
  5. Step 5: Solve for x
    x = 1,487,493.03/1,030.52
  6. Step 6: Final answer
    x = 1,443.44

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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.