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Finding the Fourth Proportional to 1,386.42, 1,913.88 and 914.59

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Solution

The fourth proportional to 1,386.42, 1,913.88 and 914.59 is: 1,262.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.42 : 1,913.88 = 914.59 : x
  2. Step 2: Convert to fraction form
    1,386.42/1,913.88 = 914.59/x
  3. Step 3: Cross multiply
    1,386.42x = 1,913.88 × 914.59
  4. Step 4: Simplify right side
    1,386.42x = 1,750,416.19
  5. Step 5: Solve for x
    x = 1,750,416.19/1,386.42
  6. Step 6: Final answer
    x = 1,262.55

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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.