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Finding the Fourth Proportional to 929.95, 1,394.47 and 352.87

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Solution

The fourth proportional to 929.95, 1,394.47 and 352.87 is: 529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.95 : 1,394.47 = 352.87 : x
  2. Step 2: Convert to fraction form
    929.95/1,394.47 = 352.87/x
  3. Step 3: Cross multiply
    929.95x = 1,394.47 × 352.87
  4. Step 4: Simplify right side
    929.95x = 492,066.63
  5. Step 5: Solve for x
    x = 492,066.63/929.95
  6. Step 6: Final answer
    x = 529.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.