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Finding the Fourth Proportional to 1,153.50, 1,730.25 and 374.16

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Solution

The fourth proportional to 1,153.50, 1,730.25 and 374.16 is: 561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.50 : 1,730.25 = 374.16 : x
  2. Step 2: Convert to fraction form
    1,153.50/1,730.25 = 374.16/x
  3. Step 3: Cross multiply
    1,153.50x = 1,730.25 × 374.16
  4. Step 4: Simplify right side
    1,153.50x = 647,390.34
  5. Step 5: Solve for x
    x = 647,390.34/1,153.50
  6. Step 6: Final answer
    x = 561.24

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Double scale
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1.5x scale

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.