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Finding the Fourth Proportional to 1,035.23, 1,553.07 and 705.36

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Solution

The fourth proportional to 1,035.23, 1,553.07 and 705.36 is: 1,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.23 : 1,553.07 = 705.36 : x
  2. Step 2: Convert to fraction form
    1,035.23/1,553.07 = 705.36/x
  3. Step 3: Cross multiply
    1,035.23x = 1,553.07 × 705.36
  4. Step 4: Simplify right side
    1,035.23x = 1,095,473.46
  5. Step 5: Solve for x
    x = 1,095,473.46/1,035.23
  6. Step 6: Final answer
    x = 1,058.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.