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Finding the Fourth Proportional to 1,347.64, 1,859.23 and 1,032.58

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Solution

The fourth proportional to 1,347.64, 1,859.23 and 1,032.58 is: 1,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.64 : 1,859.23 = 1,032.58 : x
  2. Step 2: Convert to fraction form
    1,347.64/1,859.23 = 1,032.58/x
  3. Step 3: Cross multiply
    1,347.64x = 1,859.23 × 1,032.58
  4. Step 4: Simplify right side
    1,347.64x = 1,919,803.71
  5. Step 5: Solve for x
    x = 1,919,803.71/1,347.64
  6. Step 6: Final answer
    x = 1,424.57

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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.