Home / 1,210.02-1,812.68-688.45

Finding the Fourth Proportional to 1,210.02, 1,812.68 and 688.45

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Solution

The fourth proportional to 1,210.02, 1,812.68 and 688.45 is: 1,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.02 : 1,812.68 = 688.45 : x
  2. Step 2: Convert to fraction form
    1,210.02/1,812.68 = 688.45/x
  3. Step 3: Cross multiply
    1,210.02x = 1,812.68 × 688.45
  4. Step 4: Simplify right side
    1,210.02x = 1,247,939.55
  5. Step 5: Solve for x
    x = 1,247,939.55/1,210.02
  6. Step 6: Final answer
    x = 1,031.34

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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.