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Finding the Fourth Proportional to 526.70, 785.40 and 522.01

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Solution

The fourth proportional to 526.70, 785.40 and 522.01 is: 778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.70 : 785.40 = 522.01 : x
  2. Step 2: Convert to fraction form
    526.70/785.40 = 522.01/x
  3. Step 3: Cross multiply
    526.70x = 785.40 × 522.01
  4. Step 4: Simplify right side
    526.70x = 409,986.65
  5. Step 5: Solve for x
    x = 409,986.65/526.70
  6. Step 6: Final answer
    x = 778.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.