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Finding the Fourth Proportional to 675.13, 931.98 and 509.40

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Solution

The fourth proportional to 675.13, 931.98 and 509.40 is: 703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.13 : 931.98 = 509.40 : x
  2. Step 2: Convert to fraction form
    675.13/931.98 = 509.40/x
  3. Step 3: Cross multiply
    675.13x = 931.98 × 509.40
  4. Step 4: Simplify right side
    675.13x = 474,750.61
  5. Step 5: Solve for x
    x = 474,750.61/675.13
  6. Step 6: Final answer
    x = 703.20

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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.