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Finding the Fourth Proportional to 1,135.09, 1,702.60 and 313.35

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Solution

The fourth proportional to 1,135.09, 1,702.60 and 313.35 is: 470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.09 : 1,702.60 = 313.35 : x
  2. Step 2: Convert to fraction form
    1,135.09/1,702.60 = 313.35/x
  3. Step 3: Cross multiply
    1,135.09x = 1,702.60 × 313.35
  4. Step 4: Simplify right side
    1,135.09x = 533,502.54
  5. Step 5: Solve for x
    x = 533,502.54/1,135.09
  6. Step 6: Final answer
    x = 470.01

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Why These Related Problems?

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