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Finding the Fourth Proportional to 1,035.23, 1,548.90 and 700.34

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Solution

The fourth proportional to 1,035.23, 1,548.90 and 700.34 is: 1,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.23 : 1,548.90 = 700.34 : x
  2. Step 2: Convert to fraction form
    1,035.23/1,548.90 = 700.34/x
  3. Step 3: Cross multiply
    1,035.23x = 1,548.90 × 700.34
  4. Step 4: Simplify right side
    1,035.23x = 1,084,763.12
  5. Step 5: Solve for x
    x = 1,084,763.12/1,035.23
  6. Step 6: Final answer
    x = 1,047.85

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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.