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Finding the Fourth Proportional to 1,304.57, 1,800.19 and 715.10

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Solution

The fourth proportional to 1,304.57, 1,800.19 and 715.10 is: 986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.57 : 1,800.19 = 715.10 : x
  2. Step 2: Convert to fraction form
    1,304.57/1,800.19 = 715.10/x
  3. Step 3: Cross multiply
    1,304.57x = 1,800.19 × 715.10
  4. Step 4: Simplify right side
    1,304.57x = 1,287,307.76
  5. Step 5: Solve for x
    x = 1,287,307.76/1,304.57
  6. Step 6: Final answer
    x = 986.77

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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.