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Finding the Fourth Proportional to 790.51, 1,090.85 and 436.42

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Solution

The fourth proportional to 790.51, 1,090.85 and 436.42 is: 602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.51 : 1,090.85 = 436.42 : x
  2. Step 2: Convert to fraction form
    790.51/1,090.85 = 436.42/x
  3. Step 3: Cross multiply
    790.51x = 1,090.85 × 436.42
  4. Step 4: Simplify right side
    790.51x = 476,068.76
  5. Step 5: Solve for x
    x = 476,068.76/790.51
  6. Step 6: Final answer
    x = 602.23

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