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Finding the Fourth Proportional to 1,145.77, 1,710.37 and 1,060.17

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Solution

The fourth proportional to 1,145.77, 1,710.37 and 1,060.17 is: 1,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.77 : 1,710.37 = 1,060.17 : x
  2. Step 2: Convert to fraction form
    1,145.77/1,710.37 = 1,060.17/x
  3. Step 3: Cross multiply
    1,145.77x = 1,710.37 × 1,060.17
  4. Step 4: Simplify right side
    1,145.77x = 1,813,281.53
  5. Step 5: Solve for x
    x = 1,813,281.53/1,145.77
  6. Step 6: Final answer
    x = 1,582.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.