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Finding the Fourth Proportional to 1,130.42, 1,696.30 and 514.11

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Solution

The fourth proportional to 1,130.42, 1,696.30 and 514.11 is: 771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.42 : 1,696.30 = 514.11 : x
  2. Step 2: Convert to fraction form
    1,130.42/1,696.30 = 514.11/x
  3. Step 3: Cross multiply
    1,130.42x = 1,696.30 × 514.11
  4. Step 4: Simplify right side
    1,130.42x = 872,084.79
  5. Step 5: Solve for x
    x = 872,084.79/1,130.42
  6. Step 6: Final answer
    x = 771.47

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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.