Home / 1,011.16-1,516.56-524.20

Finding the Fourth Proportional to 1,011.16, 1,516.56 and 524.20

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Solution

The fourth proportional to 1,011.16, 1,516.56 and 524.20 is: 786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.16 : 1,516.56 = 524.20 : x
  2. Step 2: Convert to fraction form
    1,011.16/1,516.56 = 524.20/x
  3. Step 3: Cross multiply
    1,011.16x = 1,516.56 × 524.20
  4. Step 4: Simplify right side
    1,011.16x = 794,980.75
  5. Step 5: Solve for x
    x = 794,980.75/1,011.16
  6. Step 6: Final answer
    x = 786.21

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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.