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Finding the Fourth Proportional to 806.64, 1,113.35 and 526.38

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Solution

The fourth proportional to 806.64, 1,113.35 and 526.38 is: 726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.64 : 1,113.35 = 526.38 : x
  2. Step 2: Convert to fraction form
    806.64/1,113.35 = 526.38/x
  3. Step 3: Cross multiply
    806.64x = 1,113.35 × 526.38
  4. Step 4: Simplify right side
    806.64x = 586,045.17
  5. Step 5: Solve for x
    x = 586,045.17/806.64
  6. Step 6: Final answer
    x = 726.53

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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.