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Finding the Fourth Proportional to 928.81, 1,281.76 and 509.16

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Solution

The fourth proportional to 928.81, 1,281.76 and 509.16 is: 702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.81 : 1,281.76 = 509.16 : x
  2. Step 2: Convert to fraction form
    928.81/1,281.76 = 509.16/x
  3. Step 3: Cross multiply
    928.81x = 1,281.76 × 509.16
  4. Step 4: Simplify right side
    928.81x = 652,616.44
  5. Step 5: Solve for x
    x = 652,616.44/928.81
  6. Step 6: Final answer
    x = 702.64

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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.