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Finding the Fourth Proportional to 1,688.95, 2,533.42 and 456.49

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Solution

The fourth proportional to 1,688.95, 2,533.42 and 456.49 is: 684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.95 : 2,533.42 = 456.49 : x
  2. Step 2: Convert to fraction form
    1,688.95/2,533.42 = 456.49/x
  3. Step 3: Cross multiply
    1,688.95x = 2,533.42 × 456.49
  4. Step 4: Simplify right side
    1,688.95x = 1,156,473.42
  5. Step 5: Solve for x
    x = 1,156,473.42/1,688.95
  6. Step 6: Final answer
    x = 684.73

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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.