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Finding the Fourth Proportional to 718.29, 1,075.23 and 522.77

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Solution

The fourth proportional to 718.29, 1,075.23 and 522.77 is: 782.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.29 : 1,075.23 = 522.77 : x
  2. Step 2: Convert to fraction form
    718.29/1,075.23 = 522.77/x
  3. Step 3: Cross multiply
    718.29x = 1,075.23 × 522.77
  4. Step 4: Simplify right side
    718.29x = 562,092.61
  5. Step 5: Solve for x
    x = 562,092.61/718.29
  6. Step 6: Final answer
    x = 782.54

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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.