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Finding the Fourth Proportional to 1,316.31, 1,973.94 and 585.39

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Solution

The fourth proportional to 1,316.31, 1,973.94 and 585.39 is: 877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.31 : 1,973.94 = 585.39 : x
  2. Step 2: Convert to fraction form
    1,316.31/1,973.94 = 585.39/x
  3. Step 3: Cross multiply
    1,316.31x = 1,973.94 × 585.39
  4. Step 4: Simplify right side
    1,316.31x = 1,155,524.74
  5. Step 5: Solve for x
    x = 1,155,524.74/1,316.31
  6. Step 6: Final answer
    x = 877.85

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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.