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Finding the Fourth Proportional to 1,325.84, 1,988.76 and 460.15

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Solution

The fourth proportional to 1,325.84, 1,988.76 and 460.15 is: 690.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.84 : 1,988.76 = 460.15 : x
  2. Step 2: Convert to fraction form
    1,325.84/1,988.76 = 460.15/x
  3. Step 3: Cross multiply
    1,325.84x = 1,988.76 × 460.15
  4. Step 4: Simplify right side
    1,325.84x = 915,122.94
  5. Step 5: Solve for x
    x = 915,122.94/1,325.84
  6. Step 6: Final answer
    x = 690.22

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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.