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Finding the Fourth Proportional to 1,307.52, 1,804.13 and 776.26

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Solution

The fourth proportional to 1,307.52, 1,804.13 and 776.26 is: 1,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.52 : 1,804.13 = 776.26 : x
  2. Step 2: Convert to fraction form
    1,307.52/1,804.13 = 776.26/x
  3. Step 3: Cross multiply
    1,307.52x = 1,804.13 × 776.26
  4. Step 4: Simplify right side
    1,307.52x = 1,400,477.42
  5. Step 5: Solve for x
    x = 1,400,477.42/1,307.52
  6. Step 6: Final answer
    x = 1,071.09

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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.