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Finding the Fourth Proportional to 714.95, 986.63 and 412.16

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Solution

The fourth proportional to 714.95, 986.63 and 412.16 is: 568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.95 : 986.63 = 412.16 : x
  2. Step 2: Convert to fraction form
    714.95/986.63 = 412.16/x
  3. Step 3: Cross multiply
    714.95x = 986.63 × 412.16
  4. Step 4: Simplify right side
    714.95x = 406,642.43
  5. Step 5: Solve for x
    x = 406,642.43/714.95
  6. Step 6: Final answer
    x = 568.77

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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.