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Finding the Fourth Proportional to 710.01, 1,065.42 and 504.81

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Solution

The fourth proportional to 710.01, 1,065.42 and 504.81 is: 757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.01 : 1,065.42 = 504.81 : x
  2. Step 2: Convert to fraction form
    710.01/1,065.42 = 504.81/x
  3. Step 3: Cross multiply
    710.01x = 1,065.42 × 504.81
  4. Step 4: Simplify right side
    710.01x = 537,834.67
  5. Step 5: Solve for x
    x = 537,834.67/710.01
  6. Step 6: Final answer
    x = 757.50

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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.