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Finding the Fourth Proportional to 1,045.50, 1,568.27 and 342.71

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Solution

The fourth proportional to 1,045.50, 1,568.27 and 342.71 is: 514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.50 : 1,568.27 = 342.71 : x
  2. Step 2: Convert to fraction form
    1,045.50/1,568.27 = 342.71/x
  3. Step 3: Cross multiply
    1,045.50x = 1,568.27 × 342.71
  4. Step 4: Simplify right side
    1,045.50x = 537,461.81
  5. Step 5: Solve for x
    x = 537,461.81/1,045.50
  6. Step 6: Final answer
    x = 514.07

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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.