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Finding the Fourth Proportional to 729.85, 1,008.10 and 530.37

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Solution

The fourth proportional to 729.85, 1,008.10 and 530.37 is: 732.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.85 : 1,008.10 = 530.37 : x
  2. Step 2: Convert to fraction form
    729.85/1,008.10 = 530.37/x
  3. Step 3: Cross multiply
    729.85x = 1,008.10 × 530.37
  4. Step 4: Simplify right side
    729.85x = 534,666.00
  5. Step 5: Solve for x
    x = 534,666.00/729.85
  6. Step 6: Final answer
    x = 732.57

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1.5x scale

Why These Related Problems?

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