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Finding the Fourth Proportional to 845.16, 1,262.14 and 729.88

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Solution

The fourth proportional to 845.16, 1,262.14 and 729.88 is: 1,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.16 : 1,262.14 = 729.88 : x
  2. Step 2: Convert to fraction form
    845.16/1,262.14 = 729.88/x
  3. Step 3: Cross multiply
    845.16x = 1,262.14 × 729.88
  4. Step 4: Simplify right side
    845.16x = 921,210.74
  5. Step 5: Solve for x
    x = 921,210.74/845.16
  6. Step 6: Final answer
    x = 1,089.98

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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.