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Finding the Fourth Proportional to 1,011.65, 1,514.23 and 524.03

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Solution

The fourth proportional to 1,011.65, 1,514.23 and 524.03 is: 784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.65 : 1,514.23 = 524.03 : x
  2. Step 2: Convert to fraction form
    1,011.65/1,514.23 = 524.03/x
  3. Step 3: Cross multiply
    1,011.65x = 1,514.23 × 524.03
  4. Step 4: Simplify right side
    1,011.65x = 793,501.95
  5. Step 5: Solve for x
    x = 793,501.95/1,011.65
  6. Step 6: Final answer
    x = 784.36

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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.