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Finding the Fourth Proportional to 1,301.08, 1,950.56 and 570.10

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Solution

The fourth proportional to 1,301.08, 1,950.56 and 570.10 is: 854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.08 : 1,950.56 = 570.10 : x
  2. Step 2: Convert to fraction form
    1,301.08/1,950.56 = 570.10/x
  3. Step 3: Cross multiply
    1,301.08x = 1,950.56 × 570.10
  4. Step 4: Simplify right side
    1,301.08x = 1,112,014.26
  5. Step 5: Solve for x
    x = 1,112,014.26/1,301.08
  6. Step 6: Final answer
    x = 854.69

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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.