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Finding the Fourth Proportional to 1,387.75, 2,081.60 and 463.37

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Solution

The fourth proportional to 1,387.75, 2,081.60 and 463.37 is: 695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.75 : 2,081.60 = 463.37 : x
  2. Step 2: Convert to fraction form
    1,387.75/2,081.60 = 463.37/x
  3. Step 3: Cross multiply
    1,387.75x = 2,081.60 × 463.37
  4. Step 4: Simplify right side
    1,387.75x = 964,547.81
  5. Step 5: Solve for x
    x = 964,547.81/1,387.75
  6. Step 6: Final answer
    x = 695.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.