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Finding the Fourth Proportional to 909.96, 1,254.93 and 615.63

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Solution

The fourth proportional to 909.96, 1,254.93 and 615.63 is: 849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.96 : 1,254.93 = 615.63 : x
  2. Step 2: Convert to fraction form
    909.96/1,254.93 = 615.63/x
  3. Step 3: Cross multiply
    909.96x = 1,254.93 × 615.63
  4. Step 4: Simplify right side
    909.96x = 772,566.28
  5. Step 5: Solve for x
    x = 772,566.28/909.96
  6. Step 6: Final answer
    x = 849.01

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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.