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Finding the Fourth Proportional to 1,300.29, 1,950.53 and 434.60

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Solution

The fourth proportional to 1,300.29, 1,950.53 and 434.60 is: 651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.29 : 1,950.53 = 434.60 : x
  2. Step 2: Convert to fraction form
    1,300.29/1,950.53 = 434.60/x
  3. Step 3: Cross multiply
    1,300.29x = 1,950.53 × 434.60
  4. Step 4: Simplify right side
    1,300.29x = 847,700.34
  5. Step 5: Solve for x
    x = 847,700.34/1,300.29
  6. Step 6: Final answer
    x = 651.93

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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.