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Finding the Fourth Proportional to 1,114.48, 1,662.30 and 1,050.24

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Solution

The fourth proportional to 1,114.48, 1,662.30 and 1,050.24 is: 1,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.48 : 1,662.30 = 1,050.24 : x
  2. Step 2: Convert to fraction form
    1,114.48/1,662.30 = 1,050.24/x
  3. Step 3: Cross multiply
    1,114.48x = 1,662.30 × 1,050.24
  4. Step 4: Simplify right side
    1,114.48x = 1,745,808.70
  5. Step 5: Solve for x
    x = 1,745,808.70/1,114.48
  6. Step 6: Final answer
    x = 1,566.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.