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Finding the Fourth Proportional to 1,570.92, 2,355.58 and 596.28

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Solution

The fourth proportional to 1,570.92, 2,355.58 and 596.28 is: 894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.92 : 2,355.58 = 596.28 : x
  2. Step 2: Convert to fraction form
    1,570.92/2,355.58 = 596.28/x
  3. Step 3: Cross multiply
    1,570.92x = 2,355.58 × 596.28
  4. Step 4: Simplify right side
    1,570.92x = 1,404,585.24
  5. Step 5: Solve for x
    x = 1,404,585.24/1,570.92
  6. Step 6: Final answer
    x = 894.12

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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.