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Finding the Fourth Proportional to 1,309.51, 1,962.74 and 615.74

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Solution

The fourth proportional to 1,309.51, 1,962.74 and 615.74 is: 922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.51 : 1,962.74 = 615.74 : x
  2. Step 2: Convert to fraction form
    1,309.51/1,962.74 = 615.74/x
  3. Step 3: Cross multiply
    1,309.51x = 1,962.74 × 615.74
  4. Step 4: Simplify right side
    1,309.51x = 1,208,543.97
  5. Step 5: Solve for x
    x = 1,208,543.97/1,309.51
  6. Step 6: Final answer
    x = 922.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.