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Finding the Fourth Proportional to 1,130.68, 1,693.54 and 513.46

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Solution

The fourth proportional to 1,130.68, 1,693.54 and 513.46 is: 769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.68 : 1,693.54 = 513.46 : x
  2. Step 2: Convert to fraction form
    1,130.68/1,693.54 = 513.46/x
  3. Step 3: Cross multiply
    1,130.68x = 1,693.54 × 513.46
  4. Step 4: Simplify right side
    1,130.68x = 869,565.05
  5. Step 5: Solve for x
    x = 869,565.05/1,130.68
  6. Step 6: Final answer
    x = 769.06

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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.