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Finding the Fourth Proportional to 1,316.45, 1,975.01 and 585.84

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Solution

The fourth proportional to 1,316.45, 1,975.01 and 585.84 is: 878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.45 : 1,975.01 = 585.84 : x
  2. Step 2: Convert to fraction form
    1,316.45/1,975.01 = 585.84/x
  3. Step 3: Cross multiply
    1,316.45x = 1,975.01 × 585.84
  4. Step 4: Simplify right side
    1,316.45x = 1,157,036.93
  5. Step 5: Solve for x
    x = 1,157,036.93/1,316.45
  6. Step 6: Final answer
    x = 878.91

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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.