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Finding the Fourth Proportional to 882.50, 1,217.95 and 509.58

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Solution

The fourth proportional to 882.50, 1,217.95 and 509.58 is: 703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.50 : 1,217.95 = 509.58 : x
  2. Step 2: Convert to fraction form
    882.50/1,217.95 = 509.58/x
  3. Step 3: Cross multiply
    882.50x = 1,217.95 × 509.58
  4. Step 4: Simplify right side
    882.50x = 620,642.96
  5. Step 5: Solve for x
    x = 620,642.96/882.50
  6. Step 6: Final answer
    x = 703.28

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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.