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Finding the Fourth Proportional to 1,570.32, 2,356.02 and 596.57

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Solution

The fourth proportional to 1,570.32, 2,356.02 and 596.57 is: 895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.32 : 2,356.02 = 596.57 : x
  2. Step 2: Convert to fraction form
    1,570.32/2,356.02 = 596.57/x
  3. Step 3: Cross multiply
    1,570.32x = 2,356.02 × 596.57
  4. Step 4: Simplify right side
    1,570.32x = 1,405,519.07
  5. Step 5: Solve for x
    x = 1,405,519.07/1,570.32
  6. Step 6: Final answer
    x = 895.05

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Why These Related Problems?

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