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Finding the Fourth Proportional to 1,570.14, 2,353.57 and 529.79

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Solution

The fourth proportional to 1,570.14, 2,353.57 and 529.79 is: 794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.14 : 2,353.57 = 529.79 : x
  2. Step 2: Convert to fraction form
    1,570.14/2,353.57 = 529.79/x
  3. Step 3: Cross multiply
    1,570.14x = 2,353.57 × 529.79
  4. Step 4: Simplify right side
    1,570.14x = 1,246,884.76
  5. Step 5: Solve for x
    x = 1,246,884.76/1,570.14
  6. Step 6: Final answer
    x = 794.12

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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.