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Finding the Fourth Proportional to 1,047.65, 1,570.46 and 957.42

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Solution

The fourth proportional to 1,047.65, 1,570.46 and 957.42 is: 1,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.65 : 1,570.46 = 957.42 : x
  2. Step 2: Convert to fraction form
    1,047.65/1,570.46 = 957.42/x
  3. Step 3: Cross multiply
    1,047.65x = 1,570.46 × 957.42
  4. Step 4: Simplify right side
    1,047.65x = 1,503,585.03
  5. Step 5: Solve for x
    x = 1,503,585.03/1,047.65
  6. Step 6: Final answer
    x = 1,435.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.