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Finding the Fourth Proportional to 1,420.80, 2,127.80 and 688.02

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Solution

The fourth proportional to 1,420.80, 2,127.80 and 688.02 is: 1,030.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.80 : 2,127.80 = 688.02 : x
  2. Step 2: Convert to fraction form
    1,420.80/2,127.80 = 688.02/x
  3. Step 3: Cross multiply
    1,420.80x = 2,127.80 × 688.02
  4. Step 4: Simplify right side
    1,420.80x = 1,463,968.96
  5. Step 5: Solve for x
    x = 1,463,968.96/1,420.80
  6. Step 6: Final answer
    x = 1,030.38

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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.