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Finding the Fourth Proportional to 830.44, 1,145.98 and 536.23

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Solution

The fourth proportional to 830.44, 1,145.98 and 536.23 is: 739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.44 : 1,145.98 = 536.23 : x
  2. Step 2: Convert to fraction form
    830.44/1,145.98 = 536.23/x
  3. Step 3: Cross multiply
    830.44x = 1,145.98 × 536.23
  4. Step 4: Simplify right side
    830.44x = 614,508.86
  5. Step 5: Solve for x
    x = 614,508.86/830.44
  6. Step 6: Final answer
    x = 739.98

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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.