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Finding the Fourth Proportional to 1,003.76, 1,505.12 and 310.32

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Solution

The fourth proportional to 1,003.76, 1,505.12 and 310.32 is: 465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.76 : 1,505.12 = 310.32 : x
  2. Step 2: Convert to fraction form
    1,003.76/1,505.12 = 310.32/x
  3. Step 3: Cross multiply
    1,003.76x = 1,505.12 × 310.32
  4. Step 4: Simplify right side
    1,003.76x = 467,068.84
  5. Step 5: Solve for x
    x = 467,068.84/1,003.76
  6. Step 6: Final answer
    x = 465.32

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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.