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Finding the Fourth Proportional to 1,316.65, 1,975.08 and 392.19

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Solution

The fourth proportional to 1,316.65, 1,975.08 and 392.19 is: 588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.65 : 1,975.08 = 392.19 : x
  2. Step 2: Convert to fraction form
    1,316.65/1,975.08 = 392.19/x
  3. Step 3: Cross multiply
    1,316.65x = 1,975.08 × 392.19
  4. Step 4: Simplify right side
    1,316.65x = 774,606.63
  5. Step 5: Solve for x
    x = 774,606.63/1,316.65
  6. Step 6: Final answer
    x = 588.32

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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.