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Finding the Fourth Proportional to 704.76, 1,055.58 and 567.46

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Solution

The fourth proportional to 704.76, 1,055.58 and 567.46 is: 849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.76 : 1,055.58 = 567.46 : x
  2. Step 2: Convert to fraction form
    704.76/1,055.58 = 567.46/x
  3. Step 3: Cross multiply
    704.76x = 1,055.58 × 567.46
  4. Step 4: Simplify right side
    704.76x = 598,999.43
  5. Step 5: Solve for x
    x = 598,999.43/704.76
  6. Step 6: Final answer
    x = 849.93

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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.