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Finding the Fourth Proportional to 1,688.54, 2,532.80 and 714.44

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Solution

The fourth proportional to 1,688.54, 2,532.80 and 714.44 is: 1,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.54 : 2,532.80 = 714.44 : x
  2. Step 2: Convert to fraction form
    1,688.54/2,532.80 = 714.44/x
  3. Step 3: Cross multiply
    1,688.54x = 2,532.80 × 714.44
  4. Step 4: Simplify right side
    1,688.54x = 1,809,541.75
  5. Step 5: Solve for x
    x = 1,809,541.75/1,688.54
  6. Step 6: Final answer
    x = 1,071.66

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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.