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Finding the Fourth Proportional to 820.61, 1,132.15 and 526.04

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Solution

The fourth proportional to 820.61, 1,132.15 and 526.04 is: 725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.61 : 1,132.15 = 526.04 : x
  2. Step 2: Convert to fraction form
    820.61/1,132.15 = 526.04/x
  3. Step 3: Cross multiply
    820.61x = 1,132.15 × 526.04
  4. Step 4: Simplify right side
    820.61x = 595,547.90
  5. Step 5: Solve for x
    x = 595,547.90/820.61
  6. Step 6: Final answer
    x = 725.74

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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.