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Finding the Fourth Proportional to 1,020.36, 1,529.82 and 507.08

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Solution

The fourth proportional to 1,020.36, 1,529.82 and 507.08 is: 760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.36 : 1,529.82 = 507.08 : x
  2. Step 2: Convert to fraction form
    1,020.36/1,529.82 = 507.08/x
  3. Step 3: Cross multiply
    1,020.36x = 1,529.82 × 507.08
  4. Step 4: Simplify right side
    1,020.36x = 775,741.13
  5. Step 5: Solve for x
    x = 775,741.13/1,020.36
  6. Step 6: Final answer
    x = 760.26

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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.