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Finding the Fourth Proportional to 868.71, 1,303.07 and 435.77

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Solution

The fourth proportional to 868.71, 1,303.07 and 435.77 is: 653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.71 : 1,303.07 = 435.77 : x
  2. Step 2: Convert to fraction form
    868.71/1,303.07 = 435.77/x
  3. Step 3: Cross multiply
    868.71x = 1,303.07 × 435.77
  4. Step 4: Simplify right side
    868.71x = 567,838.81
  5. Step 5: Solve for x
    x = 567,838.81/868.71
  6. Step 6: Final answer
    x = 653.66

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