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Finding the Fourth Proportional to 1,254.61, 1,730.77 and 812.64

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Solution

The fourth proportional to 1,254.61, 1,730.77 and 812.64 is: 1,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.61 : 1,730.77 = 812.64 : x
  2. Step 2: Convert to fraction form
    1,254.61/1,730.77 = 812.64/x
  3. Step 3: Cross multiply
    1,254.61x = 1,730.77 × 812.64
  4. Step 4: Simplify right side
    1,254.61x = 1,406,492.93
  5. Step 5: Solve for x
    x = 1,406,492.93/1,254.61
  6. Step 6: Final answer
    x = 1,121.06

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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.