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Finding the Fourth Proportional to 953.15, 1,314.77 and 603.84

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Solution

The fourth proportional to 953.15, 1,314.77 and 603.84 is: 832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.15 : 1,314.77 = 603.84 : x
  2. Step 2: Convert to fraction form
    953.15/1,314.77 = 603.84/x
  3. Step 3: Cross multiply
    953.15x = 1,314.77 × 603.84
  4. Step 4: Simplify right side
    953.15x = 793,905.65
  5. Step 5: Solve for x
    x = 793,905.65/953.15
  6. Step 6: Final answer
    x = 832.93

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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.