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Finding the Fourth Proportional to 1,302.83, 1,954.35 and 424.99

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Solution

The fourth proportional to 1,302.83, 1,954.35 and 424.99 is: 637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.83 : 1,954.35 = 424.99 : x
  2. Step 2: Convert to fraction form
    1,302.83/1,954.35 = 424.99/x
  3. Step 3: Cross multiply
    1,302.83x = 1,954.35 × 424.99
  4. Step 4: Simplify right side
    1,302.83x = 830,569.43
  5. Step 5: Solve for x
    x = 830,569.43/1,302.83
  6. Step 6: Final answer
    x = 637.51

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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.