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Finding the Fourth Proportional to 1,160.59, 1,740.89 and 294.90

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Solution

The fourth proportional to 1,160.59, 1,740.89 and 294.90 is: 442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.59 : 1,740.89 = 294.90 : x
  2. Step 2: Convert to fraction form
    1,160.59/1,740.89 = 294.90/x
  3. Step 3: Cross multiply
    1,160.59x = 1,740.89 × 294.90
  4. Step 4: Simplify right side
    1,160.59x = 513,386.99
  5. Step 5: Solve for x
    x = 513,386.99/1,160.59
  6. Step 6: Final answer
    x = 442.35

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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.