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Finding the Fourth Proportional to 1,005.06, 1,386.99 and 556.94

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Solution

The fourth proportional to 1,005.06, 1,386.99 and 556.94 is: 768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.06 : 1,386.99 = 556.94 : x
  2. Step 2: Convert to fraction form
    1,005.06/1,386.99 = 556.94/x
  3. Step 3: Cross multiply
    1,005.06x = 1,386.99 × 556.94
  4. Step 4: Simplify right side
    1,005.06x = 772,463.28
  5. Step 5: Solve for x
    x = 772,463.28/1,005.06
  6. Step 6: Final answer
    x = 768.57

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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.