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Finding the Fourth Proportional to 1,002.76, 1,510.15 and 882.34

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Solution

The fourth proportional to 1,002.76, 1,510.15 and 882.34 is: 1,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.76 : 1,510.15 = 882.34 : x
  2. Step 2: Convert to fraction form
    1,002.76/1,510.15 = 882.34/x
  3. Step 3: Cross multiply
    1,002.76x = 1,510.15 × 882.34
  4. Step 4: Simplify right side
    1,002.76x = 1,332,465.75
  5. Step 5: Solve for x
    x = 1,332,465.75/1,002.76
  6. Step 6: Final answer
    x = 1,328.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.