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Finding the Fourth Proportional to 1,042.04, 1,561.98 and 785

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Solution

The fourth proportional to 1,042.04, 1,561.98 and 785 is: 1,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.04 : 1,561.98 = 785 : x
  2. Step 2: Convert to fraction form
    1,042.04/1,561.98 = 785/x
  3. Step 3: Cross multiply
    1,042.04x = 1,561.98 × 785
  4. Step 4: Simplify right side
    1,042.04x = 1,226,154.30
  5. Step 5: Solve for x
    x = 1,226,154.30/1,042.04
  6. Step 6: Final answer
    x = 1,176.69

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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.