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Finding the Fourth Proportional to 1,688.49, 2,533.01 and 714.60

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Solution

The fourth proportional to 1,688.49, 2,533.01 and 714.60 is: 1,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.49 : 2,533.01 = 714.60 : x
  2. Step 2: Convert to fraction form
    1,688.49/2,533.01 = 714.60/x
  3. Step 3: Cross multiply
    1,688.49x = 2,533.01 × 714.60
  4. Step 4: Simplify right side
    1,688.49x = 1,810,095.28
  5. Step 5: Solve for x
    x = 1,810,095.28/1,688.49
  6. Step 6: Final answer
    x = 1,072.02

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