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Finding the Fourth Proportional to 1,127.03, 1,554.83 and 707.24

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Solution

The fourth proportional to 1,127.03, 1,554.83 and 707.24 is: 975.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.03 : 1,554.83 = 707.24 : x
  2. Step 2: Convert to fraction form
    1,127.03/1,554.83 = 707.24/x
  3. Step 3: Cross multiply
    1,127.03x = 1,554.83 × 707.24
  4. Step 4: Simplify right side
    1,127.03x = 1,099,640.97
  5. Step 5: Solve for x
    x = 1,099,640.97/1,127.03
  6. Step 6: Final answer
    x = 975.70

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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.