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Finding the Fourth Proportional to 1,301.79, 1,950.96 and 570.57

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Solution

The fourth proportional to 1,301.79, 1,950.96 and 570.57 is: 855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.79 : 1,950.96 = 570.57 : x
  2. Step 2: Convert to fraction form
    1,301.79/1,950.96 = 570.57/x
  3. Step 3: Cross multiply
    1,301.79x = 1,950.96 × 570.57
  4. Step 4: Simplify right side
    1,301.79x = 1,113,159.25
  5. Step 5: Solve for x
    x = 1,113,159.25/1,301.79
  6. Step 6: Final answer
    x = 855.10

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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.