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Finding the Fourth Proportional to 1,124.42, 1,552.69 and 705.50

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Solution

The fourth proportional to 1,124.42, 1,552.69 and 705.50 is: 974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.42 : 1,552.69 = 705.50 : x
  2. Step 2: Convert to fraction form
    1,124.42/1,552.69 = 705.50/x
  3. Step 3: Cross multiply
    1,124.42x = 1,552.69 × 705.50
  4. Step 4: Simplify right side
    1,124.42x = 1,095,422.80
  5. Step 5: Solve for x
    x = 1,095,422.80/1,124.42
  6. Step 6: Final answer
    x = 974.21

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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.