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Finding the Fourth Proportional to 929.42, 1,282.58 and 509.77

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Solution

The fourth proportional to 929.42, 1,282.58 and 509.77 is: 703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.42 : 1,282.58 = 509.77 : x
  2. Step 2: Convert to fraction form
    929.42/1,282.58 = 509.77/x
  3. Step 3: Cross multiply
    929.42x = 1,282.58 × 509.77
  4. Step 4: Simplify right side
    929.42x = 653,820.81
  5. Step 5: Solve for x
    x = 653,820.81/929.42
  6. Step 6: Final answer
    x = 703.47

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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.