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Finding the Fourth Proportional to 1,013.07, 1,509.63 and 980.04

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Solution

The fourth proportional to 1,013.07, 1,509.63 and 980.04 is: 1,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.07 : 1,509.63 = 980.04 : x
  2. Step 2: Convert to fraction form
    1,013.07/1,509.63 = 980.04/x
  3. Step 3: Cross multiply
    1,013.07x = 1,509.63 × 980.04
  4. Step 4: Simplify right side
    1,013.07x = 1,479,497.79
  5. Step 5: Solve for x
    x = 1,479,497.79/1,013.07
  6. Step 6: Final answer
    x = 1,460.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.