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Finding the Fourth Proportional to 1,042.03, 1,438.02 and 569.93

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Solution

The fourth proportional to 1,042.03, 1,438.02 and 569.93 is: 786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.03 : 1,438.02 = 569.93 : x
  2. Step 2: Convert to fraction form
    1,042.03/1,438.02 = 569.93/x
  3. Step 3: Cross multiply
    1,042.03x = 1,438.02 × 569.93
  4. Step 4: Simplify right side
    1,042.03x = 819,570.74
  5. Step 5: Solve for x
    x = 819,570.74/1,042.03
  6. Step 6: Final answer
    x = 786.51

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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.