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Finding the Fourth Proportional to 718.36, 1,075.67 and 565.06

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Solution

The fourth proportional to 718.36, 1,075.67 and 565.06 is: 846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.36 : 1,075.67 = 565.06 : x
  2. Step 2: Convert to fraction form
    718.36/1,075.67 = 565.06/x
  3. Step 3: Cross multiply
    718.36x = 1,075.67 × 565.06
  4. Step 4: Simplify right side
    718.36x = 607,818.09
  5. Step 5: Solve for x
    x = 607,818.09/718.36
  6. Step 6: Final answer
    x = 846.12

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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.