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Finding the Fourth Proportional to 883.12, 1,323.59 and 497.20

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Solution

The fourth proportional to 883.12, 1,323.59 and 497.20 is: 745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.12 : 1,323.59 = 497.20 : x
  2. Step 2: Convert to fraction form
    883.12/1,323.59 = 497.20/x
  3. Step 3: Cross multiply
    883.12x = 1,323.59 × 497.20
  4. Step 4: Simplify right side
    883.12x = 658,088.95
  5. Step 5: Solve for x
    x = 658,088.95/883.12
  6. Step 6: Final answer
    x = 745.19

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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.