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Finding the Fourth Proportional to 1,302.51, 1,952.65 and 571.53

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Solution

The fourth proportional to 1,302.51, 1,952.65 and 571.53 is: 856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.51 : 1,952.65 = 571.53 : x
  2. Step 2: Convert to fraction form
    1,302.51/1,952.65 = 571.53/x
  3. Step 3: Cross multiply
    1,302.51x = 1,952.65 × 571.53
  4. Step 4: Simplify right side
    1,302.51x = 1,115,998.05
  5. Step 5: Solve for x
    x = 1,115,998.05/1,302.51
  6. Step 6: Final answer
    x = 856.81

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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.