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Finding the Fourth Proportional to 1,065.59, 1,598.34 and 296.09

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Solution

The fourth proportional to 1,065.59, 1,598.34 and 296.09 is: 444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.59 : 1,598.34 = 296.09 : x
  2. Step 2: Convert to fraction form
    1,065.59/1,598.34 = 296.09/x
  3. Step 3: Cross multiply
    1,065.59x = 1,598.34 × 296.09
  4. Step 4: Simplify right side
    1,065.59x = 473,252.49
  5. Step 5: Solve for x
    x = 473,252.49/1,065.59
  6. Step 6: Final answer
    x = 444.12

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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.