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Finding the Fourth Proportional to 857.79, 1,184.02 and 526.70

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Solution

The fourth proportional to 857.79, 1,184.02 and 526.70 is: 727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.79 : 1,184.02 = 526.70 : x
  2. Step 2: Convert to fraction form
    857.79/1,184.02 = 526.70/x
  3. Step 3: Cross multiply
    857.79x = 1,184.02 × 526.70
  4. Step 4: Simplify right side
    857.79x = 623,624.98
  5. Step 5: Solve for x
    x = 623,624.98/857.79
  6. Step 6: Final answer
    x = 727.01

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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.