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Finding the Fourth Proportional to 1,307.61, 1,804.65 and 748.11

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Solution

The fourth proportional to 1,307.61, 1,804.65 and 748.11 is: 1,032.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.61 : 1,804.65 = 748.11 : x
  2. Step 2: Convert to fraction form
    1,307.61/1,804.65 = 748.11/x
  3. Step 3: Cross multiply
    1,307.61x = 1,804.65 × 748.11
  4. Step 4: Simplify right side
    1,307.61x = 1,350,076.71
  5. Step 5: Solve for x
    x = 1,350,076.71/1,307.61
  6. Step 6: Final answer
    x = 1,032.48

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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.