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Finding the Fourth Proportional to 1,274.81, 1,762.19 and 1,063.76

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Solution

The fourth proportional to 1,274.81, 1,762.19 and 1,063.76 is: 1,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.81 : 1,762.19 = 1,063.76 : x
  2. Step 2: Convert to fraction form
    1,274.81/1,762.19 = 1,063.76/x
  3. Step 3: Cross multiply
    1,274.81x = 1,762.19 × 1,063.76
  4. Step 4: Simplify right side
    1,274.81x = 1,874,547.23
  5. Step 5: Solve for x
    x = 1,874,547.23/1,274.81
  6. Step 6: Final answer
    x = 1,470.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.