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Finding the Fourth Proportional to 882.10, 1,217.16 and 509.08

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Solution

The fourth proportional to 882.10, 1,217.16 and 509.08 is: 702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.10 : 1,217.16 = 509.08 : x
  2. Step 2: Convert to fraction form
    882.10/1,217.16 = 509.08/x
  3. Step 3: Cross multiply
    882.10x = 1,217.16 × 509.08
  4. Step 4: Simplify right side
    882.10x = 619,631.81
  5. Step 5: Solve for x
    x = 619,631.81/882.10
  6. Step 6: Final answer
    x = 702.45

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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.