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Finding the Fourth Proportional to 876.30, 1,208.40 and 752.40

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Solution

The fourth proportional to 876.30, 1,208.40 and 752.40 is: 1,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.30 : 1,208.40 = 752.40 : x
  2. Step 2: Convert to fraction form
    876.30/1,208.40 = 752.40/x
  3. Step 3: Cross multiply
    876.30x = 1,208.40 × 752.40
  4. Step 4: Simplify right side
    876.30x = 909,200.16
  5. Step 5: Solve for x
    x = 909,200.16/876.30
  6. Step 6: Final answer
    x = 1,037.54

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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.