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Finding the Fourth Proportional to 1,036.94, 1,431 and 705.51

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Solution

The fourth proportional to 1,036.94, 1,431 and 705.51 is: 973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.94 : 1,431 = 705.51 : x
  2. Step 2: Convert to fraction form
    1,036.94/1,431 = 705.51/x
  3. Step 3: Cross multiply
    1,036.94x = 1,431 × 705.51
  4. Step 4: Simplify right side
    1,036.94x = 1,009,584.81
  5. Step 5: Solve for x
    x = 1,009,584.81/1,036.94
  6. Step 6: Final answer
    x = 973.62

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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.