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Finding the Fourth Proportional to 820.37, 1,132.13 and 526.19

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Solution

The fourth proportional to 820.37, 1,132.13 and 526.19 is: 726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.37 : 1,132.13 = 526.19 : x
  2. Step 2: Convert to fraction form
    820.37/1,132.13 = 526.19/x
  3. Step 3: Cross multiply
    820.37x = 1,132.13 × 526.19
  4. Step 4: Simplify right side
    820.37x = 595,707.19
  5. Step 5: Solve for x
    x = 595,707.19/820.37
  6. Step 6: Final answer
    x = 726.15

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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.