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Finding the Fourth Proportional to 1,124.10, 1,686.15 and 430.98

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Solution

The fourth proportional to 1,124.10, 1,686.15 and 430.98 is: 646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.10 : 1,686.15 = 430.98 : x
  2. Step 2: Convert to fraction form
    1,124.10/1,686.15 = 430.98/x
  3. Step 3: Cross multiply
    1,124.10x = 1,686.15 × 430.98
  4. Step 4: Simplify right side
    1,124.10x = 726,696.93
  5. Step 5: Solve for x
    x = 726,696.93/1,124.10
  6. Step 6: Final answer
    x = 646.47

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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.