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Finding the Fourth Proportional to 1,126.10, 1,554.59 and 707.07

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Solution

The fourth proportional to 1,126.10, 1,554.59 and 707.07 is: 976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.10 : 1,554.59 = 707.07 : x
  2. Step 2: Convert to fraction form
    1,126.10/1,554.59 = 707.07/x
  3. Step 3: Cross multiply
    1,126.10x = 1,554.59 × 707.07
  4. Step 4: Simplify right side
    1,126.10x = 1,099,200.42
  5. Step 5: Solve for x
    x = 1,099,200.42/1,126.10
  6. Step 6: Final answer
    x = 976.12

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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.