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Finding the Fourth Proportional to 714.56, 986.42 and 452.93

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Solution

The fourth proportional to 714.56, 986.42 and 452.93 is: 625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.56 : 986.42 = 452.93 : x
  2. Step 2: Convert to fraction form
    714.56/986.42 = 452.93/x
  3. Step 3: Cross multiply
    714.56x = 986.42 × 452.93
  4. Step 4: Simplify right side
    714.56x = 446,779.21
  5. Step 5: Solve for x
    x = 446,779.21/714.56
  6. Step 6: Final answer
    x = 625.25

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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.