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Finding the Fourth Proportional to 1,084.86, 1,623.96 and 714.24

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Solution

The fourth proportional to 1,084.86, 1,623.96 and 714.24 is: 1,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.86 : 1,623.96 = 714.24 : x
  2. Step 2: Convert to fraction form
    1,084.86/1,623.96 = 714.24/x
  3. Step 3: Cross multiply
    1,084.86x = 1,623.96 × 714.24
  4. Step 4: Simplify right side
    1,084.86x = 1,159,897.19
  5. Step 5: Solve for x
    x = 1,159,897.19/1,084.86
  6. Step 6: Final answer
    x = 1,069.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.