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Finding the Fourth Proportional to 1,153.94, 1,592.46 and 705.87

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Solution

The fourth proportional to 1,153.94, 1,592.46 and 705.87 is: 974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.94 : 1,592.46 = 705.87 : x
  2. Step 2: Convert to fraction form
    1,153.94/1,592.46 = 705.87/x
  3. Step 3: Cross multiply
    1,153.94x = 1,592.46 × 705.87
  4. Step 4: Simplify right side
    1,153.94x = 1,124,069.74
  5. Step 5: Solve for x
    x = 1,124,069.74/1,153.94
  6. Step 6: Final answer
    x = 974.12

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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.