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Finding the Fourth Proportional to 929.46, 1,282.57 and 536.51

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Solution

The fourth proportional to 929.46, 1,282.57 and 536.51 is: 740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.46 : 1,282.57 = 536.51 : x
  2. Step 2: Convert to fraction form
    929.46/1,282.57 = 536.51/x
  3. Step 3: Cross multiply
    929.46x = 1,282.57 × 536.51
  4. Step 4: Simplify right side
    929.46x = 688,111.63
  5. Step 5: Solve for x
    x = 688,111.63/929.46
  6. Step 6: Final answer
    x = 740.33

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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.