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Finding the Fourth Proportional to 1,127.07, 1,554.34 and 707.47

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Solution

The fourth proportional to 1,127.07, 1,554.34 and 707.47 is: 975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.07 : 1,554.34 = 707.47 : x
  2. Step 2: Convert to fraction form
    1,127.07/1,554.34 = 707.47/x
  3. Step 3: Cross multiply
    1,127.07x = 1,554.34 × 707.47
  4. Step 4: Simplify right side
    1,127.07x = 1,099,648.92
  5. Step 5: Solve for x
    x = 1,099,648.92/1,127.07
  6. Step 6: Final answer
    x = 975.67

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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.