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Finding the Fourth Proportional to 1,386.55, 1,913.46 and 757.08

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Solution

The fourth proportional to 1,386.55, 1,913.46 and 757.08 is: 1,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.55 : 1,913.46 = 757.08 : x
  2. Step 2: Convert to fraction form
    1,386.55/1,913.46 = 757.08/x
  3. Step 3: Cross multiply
    1,386.55x = 1,913.46 × 757.08
  4. Step 4: Simplify right side
    1,386.55x = 1,448,639.46
  5. Step 5: Solve for x
    x = 1,448,639.46/1,386.55
  6. Step 6: Final answer
    x = 1,044.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.