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Finding the Fourth Proportional to 567.46, 782.67 and 526.06

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Solution

The fourth proportional to 567.46, 782.67 and 526.06 is: 725.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.46 : 782.67 = 526.06 : x
  2. Step 2: Convert to fraction form
    567.46/782.67 = 526.06/x
  3. Step 3: Cross multiply
    567.46x = 782.67 × 526.06
  4. Step 4: Simplify right side
    567.46x = 411,731.38
  5. Step 5: Solve for x
    x = 411,731.38/567.46
  6. Step 6: Final answer
    x = 725.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.