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Finding the Fourth Proportional to 1,302.03, 1,950.53 and 1,156.59

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Solution

The fourth proportional to 1,302.03, 1,950.53 and 1,156.59 is: 1,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.03 : 1,950.53 = 1,156.59 : x
  2. Step 2: Convert to fraction form
    1,302.03/1,950.53 = 1,156.59/x
  3. Step 3: Cross multiply
    1,302.03x = 1,950.53 × 1,156.59
  4. Step 4: Simplify right side
    1,302.03x = 2,255,957.71
  5. Step 5: Solve for x
    x = 2,255,957.71/1,302.03
  6. Step 6: Final answer
    x = 1,732.65

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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.