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Finding the Fourth Proportional to 1,153.14, 1,590.69 and 705.11

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Solution

The fourth proportional to 1,153.14, 1,590.69 and 705.11 is: 972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.14 : 1,590.69 = 705.11 : x
  2. Step 2: Convert to fraction form
    1,153.14/1,590.69 = 705.11/x
  3. Step 3: Cross multiply
    1,153.14x = 1,590.69 × 705.11
  4. Step 4: Simplify right side
    1,153.14x = 1,121,611.43
  5. Step 5: Solve for x
    x = 1,121,611.43/1,153.14
  6. Step 6: Final answer
    x = 972.66

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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.