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Finding the Fourth Proportional to 1,030.38, 1,421.92 and 564.63

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Solution

The fourth proportional to 1,030.38, 1,421.92 and 564.63 is: 779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.38 : 1,421.92 = 564.63 : x
  2. Step 2: Convert to fraction form
    1,030.38/1,421.92 = 564.63/x
  3. Step 3: Cross multiply
    1,030.38x = 1,421.92 × 564.63
  4. Step 4: Simplify right side
    1,030.38x = 802,858.69
  5. Step 5: Solve for x
    x = 802,858.69/1,030.38
  6. Step 6: Final answer
    x = 779.19

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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.