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Finding the Fourth Proportional to 1,009.06, 1,513.74 and 315.65

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Solution

The fourth proportional to 1,009.06, 1,513.74 and 315.65 is: 473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.06 : 1,513.74 = 315.65 : x
  2. Step 2: Convert to fraction form
    1,009.06/1,513.74 = 315.65/x
  3. Step 3: Cross multiply
    1,009.06x = 1,513.74 × 315.65
  4. Step 4: Simplify right side
    1,009.06x = 477,806.71
  5. Step 5: Solve for x
    x = 477,806.71/1,009.06
  6. Step 6: Final answer
    x = 473.52

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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.