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Finding the Fourth Proportional to 841.10, 1,160.39 and 509.40

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Solution

The fourth proportional to 841.10, 1,160.39 and 509.40 is: 702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.10 : 1,160.39 = 509.40 : x
  2. Step 2: Convert to fraction form
    841.10/1,160.39 = 509.40/x
  3. Step 3: Cross multiply
    841.10x = 1,160.39 × 509.40
  4. Step 4: Simplify right side
    841.10x = 591,102.67
  5. Step 5: Solve for x
    x = 591,102.67/841.10
  6. Step 6: Final answer
    x = 702.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.