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Finding the Fourth Proportional to 1,355.62, 1,870.80 and 749.94

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Solution

The fourth proportional to 1,355.62, 1,870.80 and 749.94 is: 1,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.62 : 1,870.80 = 749.94 : x
  2. Step 2: Convert to fraction form
    1,355.62/1,870.80 = 749.94/x
  3. Step 3: Cross multiply
    1,355.62x = 1,870.80 × 749.94
  4. Step 4: Simplify right side
    1,355.62x = 1,402,987.75
  5. Step 5: Solve for x
    x = 1,402,987.75/1,355.62
  6. Step 6: Final answer
    x = 1,034.94

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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.