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Finding the Fourth Proportional to 1,036, 1,427.70 and 957.52

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Solution

The fourth proportional to 1,036, 1,427.70 and 957.52 is: 1,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036 : 1,427.70 = 957.52 : x
  2. Step 2: Convert to fraction form
    1,036/1,427.70 = 957.52/x
  3. Step 3: Cross multiply
    1,036x = 1,427.70 × 957.52
  4. Step 4: Simplify right side
    1,036x = 1,367,051.30
  5. Step 5: Solve for x
    x = 1,367,051.30/1,036
  6. Step 6: Final answer
    x = 1,319.55

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