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Finding the Fourth Proportional to 714.51, 985.68 and 465.87

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Solution

The fourth proportional to 714.51, 985.68 and 465.87 is: 642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.51 : 985.68 = 465.87 : x
  2. Step 2: Convert to fraction form
    714.51/985.68 = 465.87/x
  3. Step 3: Cross multiply
    714.51x = 985.68 × 465.87
  4. Step 4: Simplify right side
    714.51x = 459,198.74
  5. Step 5: Solve for x
    x = 459,198.74/714.51
  6. Step 6: Final answer
    x = 642.68

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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.