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Finding the Fourth Proportional to 779.34, 1,075.52 and 430.02

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Solution

The fourth proportional to 779.34, 1,075.52 and 430.02 is: 593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.34 : 1,075.52 = 430.02 : x
  2. Step 2: Convert to fraction form
    779.34/1,075.52 = 430.02/x
  3. Step 3: Cross multiply
    779.34x = 1,075.52 × 430.02
  4. Step 4: Simplify right side
    779.34x = 462,495.11
  5. Step 5: Solve for x
    x = 462,495.11/779.34
  6. Step 6: Final answer
    x = 593.45

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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.