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Finding the Fourth Proportional to 1,148.87, 1,585.84 and 706.81

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Solution

The fourth proportional to 1,148.87, 1,585.84 and 706.81 is: 975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.87 : 1,585.84 = 706.81 : x
  2. Step 2: Convert to fraction form
    1,148.87/1,585.84 = 706.81/x
  3. Step 3: Cross multiply
    1,148.87x = 1,585.84 × 706.81
  4. Step 4: Simplify right side
    1,148.87x = 1,120,887.57
  5. Step 5: Solve for x
    x = 1,120,887.57/1,148.87
  6. Step 6: Final answer
    x = 975.64

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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.