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Finding the Fourth Proportional to 841.01, 1,160.05 and 542.63

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Solution

The fourth proportional to 841.01, 1,160.05 and 542.63 is: 748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.01 : 1,160.05 = 542.63 : x
  2. Step 2: Convert to fraction form
    841.01/1,160.05 = 542.63/x
  3. Step 3: Cross multiply
    841.01x = 1,160.05 × 542.63
  4. Step 4: Simplify right side
    841.01x = 629,482.67
  5. Step 5: Solve for x
    x = 629,482.67/841.01
  6. Step 6: Final answer
    x = 748.49

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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.