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Finding the Fourth Proportional to 1,148.07, 1,585.67 and 912.77

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Solution

The fourth proportional to 1,148.07, 1,585.67 and 912.77 is: 1,260.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.07 : 1,585.67 = 912.77 : x
  2. Step 2: Convert to fraction form
    1,148.07/1,585.67 = 912.77/x
  3. Step 3: Cross multiply
    1,148.07x = 1,585.67 × 912.77
  4. Step 4: Simplify right side
    1,148.07x = 1,447,352.01
  5. Step 5: Solve for x
    x = 1,447,352.01/1,148.07
  6. Step 6: Final answer
    x = 1,260.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.