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Finding the Fourth Proportional to 1,135.02, 1,702.62 and 313.37

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Solution

The fourth proportional to 1,135.02, 1,702.62 and 313.37 is: 470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.02 : 1,702.62 = 313.37 : x
  2. Step 2: Convert to fraction form
    1,135.02/1,702.62 = 313.37/x
  3. Step 3: Cross multiply
    1,135.02x = 1,702.62 × 313.37
  4. Step 4: Simplify right side
    1,135.02x = 533,550.03
  5. Step 5: Solve for x
    x = 533,550.03/1,135.02
  6. Step 6: Final answer
    x = 470.08

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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.