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Finding the Fourth Proportional to 755.70, 1,042.98 and 424.15

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Solution

The fourth proportional to 755.70, 1,042.98 and 424.15 is: 585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.70 : 1,042.98 = 424.15 : x
  2. Step 2: Convert to fraction form
    755.70/1,042.98 = 424.15/x
  3. Step 3: Cross multiply
    755.70x = 1,042.98 × 424.15
  4. Step 4: Simplify right side
    755.70x = 442,381.64
  5. Step 5: Solve for x
    x = 442,381.64/755.70
  6. Step 6: Final answer
    x = 585.39

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1.5x scale

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.