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Finding the Fourth Proportional to 1,135.04, 1,702.41 and 313.26

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Solution

The fourth proportional to 1,135.04, 1,702.41 and 313.26 is: 469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.04 : 1,702.41 = 313.26 : x
  2. Step 2: Convert to fraction form
    1,135.04/1,702.41 = 313.26/x
  3. Step 3: Cross multiply
    1,135.04x = 1,702.41 × 313.26
  4. Step 4: Simplify right side
    1,135.04x = 533,296.96
  5. Step 5: Solve for x
    x = 533,296.96/1,135.04
  6. Step 6: Final answer
    x = 469.85

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