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Finding the Fourth Proportional to 1,567.16, 2,351 and 527.26

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Solution

The fourth proportional to 1,567.16, 2,351 and 527.26 is: 790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.16 : 2,351 = 527.26 : x
  2. Step 2: Convert to fraction form
    1,567.16/2,351 = 527.26/x
  3. Step 3: Cross multiply
    1,567.16x = 2,351 × 527.26
  4. Step 4: Simplify right side
    1,567.16x = 1,239,576.51
  5. Step 5: Solve for x
    x = 1,239,576.51/1,567.16
  6. Step 6: Final answer
    x = 790.97

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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.