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Finding the Fourth Proportional to 929.46, 1,282.40 and 732.36

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Solution

The fourth proportional to 929.46, 1,282.40 and 732.36 is: 1,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.46 : 1,282.40 = 732.36 : x
  2. Step 2: Convert to fraction form
    929.46/1,282.40 = 732.36/x
  3. Step 3: Cross multiply
    929.46x = 1,282.40 × 732.36
  4. Step 4: Simplify right side
    929.46x = 939,178.46
  5. Step 5: Solve for x
    x = 939,178.46/929.46
  6. Step 6: Final answer
    x = 1,010.46

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1.5x scale

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.