Home / 1,688.14-2,532.84-713.98

Finding the Fourth Proportional to 1,688.14, 2,532.84 and 713.98

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Solution

The fourth proportional to 1,688.14, 2,532.84 and 713.98 is: 1,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.14 : 2,532.84 = 713.98 : x
  2. Step 2: Convert to fraction form
    1,688.14/2,532.84 = 713.98/x
  3. Step 3: Cross multiply
    1,688.14x = 2,532.84 × 713.98
  4. Step 4: Simplify right side
    1,688.14x = 1,808,397.10
  5. Step 5: Solve for x
    x = 1,808,397.10/1,688.14
  6. Step 6: Final answer
    x = 1,071.24

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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.