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Finding the Fourth Proportional to 882.50, 1,216.80 and 602.87

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Solution

The fourth proportional to 882.50, 1,216.80 and 602.87 is: 831.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.50 : 1,216.80 = 602.87 : x
  2. Step 2: Convert to fraction form
    882.50/1,216.80 = 602.87/x
  3. Step 3: Cross multiply
    882.50x = 1,216.80 × 602.87
  4. Step 4: Simplify right side
    882.50x = 733,566.13
  5. Step 5: Solve for x
    x = 733,566.13/882.50
  6. Step 6: Final answer
    x = 831.24

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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.