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Finding the Fourth Proportional to 1,570.08, 2,356.38 and 830.53

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Solution

The fourth proportional to 1,570.08, 2,356.38 and 830.53 is: 1,246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.08 : 2,356.38 = 830.53 : x
  2. Step 2: Convert to fraction form
    1,570.08/2,356.38 = 830.53/x
  3. Step 3: Cross multiply
    1,570.08x = 2,356.38 × 830.53
  4. Step 4: Simplify right side
    1,570.08x = 1,957,039.43
  5. Step 5: Solve for x
    x = 1,957,039.43/1,570.08
  6. Step 6: Final answer
    x = 1,246.46

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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.