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Finding the Fourth Proportional to 1,011.15, 1,514.79 and 524.70

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Solution

The fourth proportional to 1,011.15, 1,514.79 and 524.70 is: 786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.15 : 1,514.79 = 524.70 : x
  2. Step 2: Convert to fraction form
    1,011.15/1,514.79 = 524.70/x
  3. Step 3: Cross multiply
    1,011.15x = 1,514.79 × 524.70
  4. Step 4: Simplify right side
    1,011.15x = 794,810.31
  5. Step 5: Solve for x
    x = 794,810.31/1,011.15
  6. Step 6: Final answer
    x = 786.05

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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.