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Finding the Fourth Proportional to 1,359.32, 2,038.80 and 434.89

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Solution

The fourth proportional to 1,359.32, 2,038.80 and 434.89 is: 652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.32 : 2,038.80 = 434.89 : x
  2. Step 2: Convert to fraction form
    1,359.32/2,038.80 = 434.89/x
  3. Step 3: Cross multiply
    1,359.32x = 2,038.80 × 434.89
  4. Step 4: Simplify right side
    1,359.32x = 886,657.91
  5. Step 5: Solve for x
    x = 886,657.91/1,359.32
  6. Step 6: Final answer
    x = 652.28

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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.