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Finding the Fourth Proportional to 1,065.79, 1,598.82 and 538.93

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Solution

The fourth proportional to 1,065.79, 1,598.82 and 538.93 is: 808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.79 : 1,598.82 = 538.93 : x
  2. Step 2: Convert to fraction form
    1,065.79/1,598.82 = 538.93/x
  3. Step 3: Cross multiply
    1,065.79x = 1,598.82 × 538.93
  4. Step 4: Simplify right side
    1,065.79x = 861,652.06
  5. Step 5: Solve for x
    x = 861,652.06/1,065.79
  6. Step 6: Final answer
    x = 808.46

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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.