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Finding the Fourth Proportional to 929.63, 1,282.85 and 509.98

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Solution

The fourth proportional to 929.63, 1,282.85 and 509.98 is: 703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.63 : 1,282.85 = 509.98 : x
  2. Step 2: Convert to fraction form
    929.63/1,282.85 = 509.98/x
  3. Step 3: Cross multiply
    929.63x = 1,282.85 × 509.98
  4. Step 4: Simplify right side
    929.63x = 654,224.52
  5. Step 5: Solve for x
    x = 654,224.52/929.63
  6. Step 6: Final answer
    x = 703.74

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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.