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Finding the Fourth Proportional to 1,112.65, 1,534.70 and 670.07

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Solution

The fourth proportional to 1,112.65, 1,534.70 and 670.07 is: 924.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.65 : 1,534.70 = 670.07 : x
  2. Step 2: Convert to fraction form
    1,112.65/1,534.70 = 670.07/x
  3. Step 3: Cross multiply
    1,112.65x = 1,534.70 × 670.07
  4. Step 4: Simplify right side
    1,112.65x = 1,028,361.94
  5. Step 5: Solve for x
    x = 1,028,361.94/1,112.65
  6. Step 6: Final answer
    x = 924.25

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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.