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Finding the Fourth Proportional to 1,127.64, 1,556.22 and 655.69

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Solution

The fourth proportional to 1,127.64, 1,556.22 and 655.69 is: 904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.64 : 1,556.22 = 655.69 : x
  2. Step 2: Convert to fraction form
    1,127.64/1,556.22 = 655.69/x
  3. Step 3: Cross multiply
    1,127.64x = 1,556.22 × 655.69
  4. Step 4: Simplify right side
    1,127.64x = 1,020,397.89
  5. Step 5: Solve for x
    x = 1,020,397.89/1,127.64
  6. Step 6: Final answer
    x = 904.90

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