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Finding the Fourth Proportional to 992.59, 1,490.24 and 877.77

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Solution

The fourth proportional to 992.59, 1,490.24 and 877.77 is: 1,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.59 : 1,490.24 = 877.77 : x
  2. Step 2: Convert to fraction form
    992.59/1,490.24 = 877.77/x
  3. Step 3: Cross multiply
    992.59x = 1,490.24 × 877.77
  4. Step 4: Simplify right side
    992.59x = 1,308,090.16
  5. Step 5: Solve for x
    x = 1,308,090.16/992.59
  6. Step 6: Final answer
    x = 1,317.86

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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.