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Finding the Fourth Proportional to 929.10, 1,282.08 and 536.02

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Solution

The fourth proportional to 929.10, 1,282.08 and 536.02 is: 739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.10 : 1,282.08 = 536.02 : x
  2. Step 2: Convert to fraction form
    929.10/1,282.08 = 536.02/x
  3. Step 3: Cross multiply
    929.10x = 1,282.08 × 536.02
  4. Step 4: Simplify right side
    929.10x = 687,220.52
  5. Step 5: Solve for x
    x = 687,220.52/929.10
  6. Step 6: Final answer
    x = 739.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.