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Finding the Fourth Proportional to 714.29, 986.18 and 465.95

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Solution

The fourth proportional to 714.29, 986.18 and 465.95 is: 643.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.29 : 986.18 = 465.95 : x
  2. Step 2: Convert to fraction form
    714.29/986.18 = 465.95/x
  3. Step 3: Cross multiply
    714.29x = 986.18 × 465.95
  4. Step 4: Simplify right side
    714.29x = 459,510.71
  5. Step 5: Solve for x
    x = 459,510.71/714.29
  6. Step 6: Final answer
    x = 643.32

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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.