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Finding the Fourth Proportional to 758.19, 1,046.30 and 525.45

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Solution

The fourth proportional to 758.19, 1,046.30 and 525.45 is: 725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.19 : 1,046.30 = 525.45 : x
  2. Step 2: Convert to fraction form
    758.19/1,046.30 = 525.45/x
  3. Step 3: Cross multiply
    758.19x = 1,046.30 × 525.45
  4. Step 4: Simplify right side
    758.19x = 549,778.34
  5. Step 5: Solve for x
    x = 549,778.34/758.19
  6. Step 6: Final answer
    x = 725.12

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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.