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Finding the Fourth Proportional to 762.91, 1,053.26 and 530.35

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Solution

The fourth proportional to 762.91, 1,053.26 and 530.35 is: 732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.91 : 1,053.26 = 530.35 : x
  2. Step 2: Convert to fraction form
    762.91/1,053.26 = 530.35/x
  3. Step 3: Cross multiply
    762.91x = 1,053.26 × 530.35
  4. Step 4: Simplify right side
    762.91x = 558,596.44
  5. Step 5: Solve for x
    x = 558,596.44/762.91
  6. Step 6: Final answer
    x = 732.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.