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Finding the Fourth Proportional to 1,688.54, 2,532.94 and 714.74

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Solution

The fourth proportional to 1,688.54, 2,532.94 and 714.74 is: 1,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.54 : 2,532.94 = 714.74 : x
  2. Step 2: Convert to fraction form
    1,688.54/2,532.94 = 714.74/x
  3. Step 3: Cross multiply
    1,688.54x = 2,532.94 × 714.74
  4. Step 4: Simplify right side
    1,688.54x = 1,810,393.54
  5. Step 5: Solve for x
    x = 1,810,393.54/1,688.54
  6. Step 6: Final answer
    x = 1,072.17

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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.