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Finding the Fourth Proportional to 779.64, 1,075.92 and 430.35

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Solution

The fourth proportional to 779.64, 1,075.92 and 430.35 is: 593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.64 : 1,075.92 = 430.35 : x
  2. Step 2: Convert to fraction form
    779.64/1,075.92 = 430.35/x
  3. Step 3: Cross multiply
    779.64x = 1,075.92 × 430.35
  4. Step 4: Simplify right side
    779.64x = 463,022.17
  5. Step 5: Solve for x
    x = 463,022.17/779.64
  6. Step 6: Final answer
    x = 593.89

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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.