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Finding the Fourth Proportional to 1,127.49, 1,699.65 and 1,052.22

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Solution

The fourth proportional to 1,127.49, 1,699.65 and 1,052.22 is: 1,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.49 : 1,699.65 = 1,052.22 : x
  2. Step 2: Convert to fraction form
    1,127.49/1,699.65 = 1,052.22/x
  3. Step 3: Cross multiply
    1,127.49x = 1,699.65 × 1,052.22
  4. Step 4: Simplify right side
    1,127.49x = 1,788,412.10
  5. Step 5: Solve for x
    x = 1,788,412.10/1,127.49
  6. Step 6: Final answer
    x = 1,586.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.