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Finding the Fourth Proportional to 869.10, 1,303.07 and 521.57

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Solution

The fourth proportional to 869.10, 1,303.07 and 521.57 is: 782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.10 : 1,303.07 = 521.57 : x
  2. Step 2: Convert to fraction form
    869.10/1,303.07 = 521.57/x
  3. Step 3: Cross multiply
    869.10x = 1,303.07 × 521.57
  4. Step 4: Simplify right side
    869.10x = 679,635.70
  5. Step 5: Solve for x
    x = 679,635.70/869.10
  6. Step 6: Final answer
    x = 782.00

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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.