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Finding the Fourth Proportional to 1,130.48, 1,556.92 and 1,090.48

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Solution

The fourth proportional to 1,130.48, 1,556.92 and 1,090.48 is: 1,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.48 : 1,556.92 = 1,090.48 : x
  2. Step 2: Convert to fraction form
    1,130.48/1,556.92 = 1,090.48/x
  3. Step 3: Cross multiply
    1,130.48x = 1,556.92 × 1,090.48
  4. Step 4: Simplify right side
    1,130.48x = 1,697,790.12
  5. Step 5: Solve for x
    x = 1,697,790.12/1,130.48
  6. Step 6: Final answer
    x = 1,501.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.