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Finding the Fourth Proportional to 753.30, 1,129.77 and 290.93

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Solution

The fourth proportional to 753.30, 1,129.77 and 290.93 is: 436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.30 : 1,129.77 = 290.93 : x
  2. Step 2: Convert to fraction form
    753.30/1,129.77 = 290.93/x
  3. Step 3: Cross multiply
    753.30x = 1,129.77 × 290.93
  4. Step 4: Simplify right side
    753.30x = 328,678.34
  5. Step 5: Solve for x
    x = 328,678.34/753.30
  6. Step 6: Final answer
    x = 436.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.