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Finding the Fourth Proportional to 727.11, 1,088.33 and 508.01

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Solution

The fourth proportional to 727.11, 1,088.33 and 508.01 is: 760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.11 : 1,088.33 = 508.01 : x
  2. Step 2: Convert to fraction form
    727.11/1,088.33 = 508.01/x
  3. Step 3: Cross multiply
    727.11x = 1,088.33 × 508.01
  4. Step 4: Simplify right side
    727.11x = 552,878.53
  5. Step 5: Solve for x
    x = 552,878.53/727.11
  6. Step 6: Final answer
    x = 760.38

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