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Finding the Fourth Proportional to 1,681.70, 2,522.19 and 526.82

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Solution

The fourth proportional to 1,681.70, 2,522.19 and 526.82 is: 790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.70 : 2,522.19 = 526.82 : x
  2. Step 2: Convert to fraction form
    1,681.70/2,522.19 = 526.82/x
  3. Step 3: Cross multiply
    1,681.70x = 2,522.19 × 526.82
  4. Step 4: Simplify right side
    1,681.70x = 1,328,740.14
  5. Step 5: Solve for x
    x = 1,328,740.14/1,681.70
  6. Step 6: Final answer
    x = 790.12

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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.