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Finding the Fourth Proportional to 1,011.30, 1,516.98 and 524.04

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Solution

The fourth proportional to 1,011.30, 1,516.98 and 524.04 is: 786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.30 : 1,516.98 = 524.04 : x
  2. Step 2: Convert to fraction form
    1,011.30/1,516.98 = 524.04/x
  3. Step 3: Cross multiply
    1,011.30x = 1,516.98 × 524.04
  4. Step 4: Simplify right side
    1,011.30x = 794,958.20
  5. Step 5: Solve for x
    x = 794,958.20/1,011.30
  6. Step 6: Final answer
    x = 786.08

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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.