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Finding the Fourth Proportional to 1,307.62, 1,804.51 and 710.11

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Solution

The fourth proportional to 1,307.62, 1,804.51 and 710.11 is: 979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.62 : 1,804.51 = 710.11 : x
  2. Step 2: Convert to fraction form
    1,307.62/1,804.51 = 710.11/x
  3. Step 3: Cross multiply
    1,307.62x = 1,804.51 × 710.11
  4. Step 4: Simplify right side
    1,307.62x = 1,281,396.77
  5. Step 5: Solve for x
    x = 1,281,396.77/1,307.62
  6. Step 6: Final answer
    x = 979.95

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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.