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Finding the Fourth Proportional to 1,207.74, 1,809.48 and 1,032.63

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Solution

The fourth proportional to 1,207.74, 1,809.48 and 1,032.63 is: 1,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.74 : 1,809.48 = 1,032.63 : x
  2. Step 2: Convert to fraction form
    1,207.74/1,809.48 = 1,032.63/x
  3. Step 3: Cross multiply
    1,207.74x = 1,809.48 × 1,032.63
  4. Step 4: Simplify right side
    1,207.74x = 1,868,523.33
  5. Step 5: Solve for x
    x = 1,868,523.33/1,207.74
  6. Step 6: Final answer
    x = 1,547.12

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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.