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Finding the Fourth Proportional to 880.38, 1,214.64 and 526.23

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Solution

The fourth proportional to 880.38, 1,214.64 and 526.23 is: 726.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.38 : 1,214.64 = 526.23 : x
  2. Step 2: Convert to fraction form
    880.38/1,214.64 = 526.23/x
  3. Step 3: Cross multiply
    880.38x = 1,214.64 × 526.23
  4. Step 4: Simplify right side
    880.38x = 639,180.01
  5. Step 5: Solve for x
    x = 639,180.01/880.38
  6. Step 6: Final answer
    x = 726.03

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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.