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Finding the Fourth Proportional to 1,018.69, 1,526.33 and 980.77

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Solution

The fourth proportional to 1,018.69, 1,526.33 and 980.77 is: 1,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.69 : 1,526.33 = 980.77 : x
  2. Step 2: Convert to fraction form
    1,018.69/1,526.33 = 980.77/x
  3. Step 3: Cross multiply
    1,018.69x = 1,526.33 × 980.77
  4. Step 4: Simplify right side
    1,018.69x = 1,496,978.67
  5. Step 5: Solve for x
    x = 1,496,978.67/1,018.69
  6. Step 6: Final answer
    x = 1,469.51

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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.