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Finding the Fourth Proportional to 1,570.65, 2,355.87 and 596.72

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Solution

The fourth proportional to 1,570.65, 2,355.87 and 596.72 is: 895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.65 : 2,355.87 = 596.72 : x
  2. Step 2: Convert to fraction form
    1,570.65/2,355.87 = 596.72/x
  3. Step 3: Cross multiply
    1,570.65x = 2,355.87 × 596.72
  4. Step 4: Simplify right side
    1,570.65x = 1,405,799.52
  5. Step 5: Solve for x
    x = 1,405,799.52/1,570.65
  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.