Home / 1,148.48-1,584.66-706.58

Finding the Fourth Proportional to 1,148.48, 1,584.66 and 706.58

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Solution

The fourth proportional to 1,148.48, 1,584.66 and 706.58 is: 974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.48 : 1,584.66 = 706.58 : x
  2. Step 2: Convert to fraction form
    1,148.48/1,584.66 = 706.58/x
  3. Step 3: Cross multiply
    1,148.48x = 1,584.66 × 706.58
  4. Step 4: Simplify right side
    1,148.48x = 1,119,689.06
  5. Step 5: Solve for x
    x = 1,119,689.06/1,148.48
  6. Step 6: Final answer
    x = 974.93

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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.