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Finding the Fourth Proportional to 691.08, 1,036.34 and 537.18

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Solution

The fourth proportional to 691.08, 1,036.34 and 537.18 is: 805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.08 : 1,036.34 = 537.18 : x
  2. Step 2: Convert to fraction form
    691.08/1,036.34 = 537.18/x
  3. Step 3: Cross multiply
    691.08x = 1,036.34 × 537.18
  4. Step 4: Simplify right side
    691.08x = 556,701.12
  5. Step 5: Solve for x
    x = 556,701.12/691.08
  6. Step 6: Final answer
    x = 805.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.