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Finding the Fourth Proportional to 1,152.18, 1,728.95 and 458.91

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Solution

The fourth proportional to 1,152.18, 1,728.95 and 458.91 is: 688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.18 : 1,728.95 = 458.91 : x
  2. Step 2: Convert to fraction form
    1,152.18/1,728.95 = 458.91/x
  3. Step 3: Cross multiply
    1,152.18x = 1,728.95 × 458.91
  4. Step 4: Simplify right side
    1,152.18x = 793,430.15
  5. Step 5: Solve for x
    x = 793,430.15/1,152.18
  6. Step 6: Final answer
    x = 688.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.