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Finding the Fourth Proportional to 1,472.07, 2,031.33 and 808.77

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Solution

The fourth proportional to 1,472.07, 2,031.33 and 808.77 is: 1,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.07 : 2,031.33 = 808.77 : x
  2. Step 2: Convert to fraction form
    1,472.07/2,031.33 = 808.77/x
  3. Step 3: Cross multiply
    1,472.07x = 2,031.33 × 808.77
  4. Step 4: Simplify right side
    1,472.07x = 1,642,878.76
  5. Step 5: Solve for x
    x = 1,642,878.76/1,472.07
  6. Step 6: Final answer
    x = 1,116.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.