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Finding the Fourth Proportional to 876.32, 1,209.42 and 527.07

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Solution

The fourth proportional to 876.32, 1,209.42 and 527.07 is: 727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.32 : 1,209.42 = 527.07 : x
  2. Step 2: Convert to fraction form
    876.32/1,209.42 = 527.07/x
  3. Step 3: Cross multiply
    876.32x = 1,209.42 × 527.07
  4. Step 4: Simplify right side
    876.32x = 637,449.00
  5. Step 5: Solve for x
    x = 637,449.00/876.32
  6. Step 6: Final answer
    x = 727.42

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1.5x scale

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.