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Finding the Fourth Proportional to 1,045.93, 1,568.30 and 430.07

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Solution

The fourth proportional to 1,045.93, 1,568.30 and 430.07 is: 644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.93 : 1,568.30 = 430.07 : x
  2. Step 2: Convert to fraction form
    1,045.93/1,568.30 = 430.07/x
  3. Step 3: Cross multiply
    1,045.93x = 1,568.30 × 430.07
  4. Step 4: Simplify right side
    1,045.93x = 674,468.79
  5. Step 5: Solve for x
    x = 674,468.79/1,045.93
  6. Step 6: Final answer
    x = 644.85

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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.