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Finding the Fourth Proportional to 1,009.34, 1,513.32 and 315.77

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Solution

The fourth proportional to 1,009.34, 1,513.32 and 315.77 is: 473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.34 : 1,513.32 = 315.77 : x
  2. Step 2: Convert to fraction form
    1,009.34/1,513.32 = 315.77/x
  3. Step 3: Cross multiply
    1,009.34x = 1,513.32 × 315.77
  4. Step 4: Simplify right side
    1,009.34x = 477,861.06
  5. Step 5: Solve for x
    x = 477,861.06/1,009.34
  6. Step 6: Final answer
    x = 473.44

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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.