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Finding the Fourth Proportional to 702.79, 1,053.54 and 337.06

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Solution

The fourth proportional to 702.79, 1,053.54 and 337.06 is: 505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.79 : 1,053.54 = 337.06 : x
  2. Step 2: Convert to fraction form
    702.79/1,053.54 = 337.06/x
  3. Step 3: Cross multiply
    702.79x = 1,053.54 × 337.06
  4. Step 4: Simplify right side
    702.79x = 355,106.19
  5. Step 5: Solve for x
    x = 355,106.19/702.79
  6. Step 6: Final answer
    x = 505.28

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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.