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Finding the Fourth Proportional to 1,061.48, 1,465.62 and 913.25

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Solution

The fourth proportional to 1,061.48, 1,465.62 and 913.25 is: 1,260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.48 : 1,465.62 = 913.25 : x
  2. Step 2: Convert to fraction form
    1,061.48/1,465.62 = 913.25/x
  3. Step 3: Cross multiply
    1,061.48x = 1,465.62 × 913.25
  4. Step 4: Simplify right side
    1,061.48x = 1,338,477.47
  5. Step 5: Solve for x
    x = 1,338,477.47/1,061.48
  6. Step 6: Final answer
    x = 1,260.95

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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.