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Finding the Fourth Proportional to 714.58, 985.62 and 448.77

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Solution

The fourth proportional to 714.58, 985.62 and 448.77 is: 618.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.58 : 985.62 = 448.77 : x
  2. Step 2: Convert to fraction form
    714.58/985.62 = 448.77/x
  3. Step 3: Cross multiply
    714.58x = 985.62 × 448.77
  4. Step 4: Simplify right side
    714.58x = 442,316.69
  5. Step 5: Solve for x
    x = 442,316.69/714.58
  6. Step 6: Final answer
    x = 618.99

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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.