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Finding the Fourth Proportional to 1,434.54, 2,151.96 and 510.08

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Solution

The fourth proportional to 1,434.54, 2,151.96 and 510.08 is: 765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.54 : 2,151.96 = 510.08 : x
  2. Step 2: Convert to fraction form
    1,434.54/2,151.96 = 510.08/x
  3. Step 3: Cross multiply
    1,434.54x = 2,151.96 × 510.08
  4. Step 4: Simplify right side
    1,434.54x = 1,097,671.76
  5. Step 5: Solve for x
    x = 1,097,671.76/1,434.54
  6. Step 6: Final answer
    x = 765.17

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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.