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Finding the Fourth Proportional to 1,152.46, 1,590.50 and 655.18

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Solution

The fourth proportional to 1,152.46, 1,590.50 and 655.18 is: 904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.46 : 1,590.50 = 655.18 : x
  2. Step 2: Convert to fraction form
    1,152.46/1,590.50 = 655.18/x
  3. Step 3: Cross multiply
    1,152.46x = 1,590.50 × 655.18
  4. Step 4: Simplify right side
    1,152.46x = 1,042,063.79
  5. Step 5: Solve for x
    x = 1,042,063.79/1,152.46
  6. Step 6: Final answer
    x = 904.21

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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.