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Finding the Fourth Proportional to 1,315.47, 1,973.54 and 391.00

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Solution

The fourth proportional to 1,315.47, 1,973.54 and 391.00 is: 586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.47 : 1,973.54 = 391.00 : x
  2. Step 2: Convert to fraction form
    1,315.47/1,973.54 = 391.00/x
  3. Step 3: Cross multiply
    1,315.47x = 1,973.54 × 391.00
  4. Step 4: Simplify right side
    1,315.47x = 771,658.33
  5. Step 5: Solve for x
    x = 771,658.33/1,315.47
  6. Step 6: Final answer
    x = 586.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.