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Finding the Fourth Proportional to 1,552.68, 2,329.02 and 457.04

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Solution

The fourth proportional to 1,552.68, 2,329.02 and 457.04 is: 685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.68 : 2,329.02 = 457.04 : x
  2. Step 2: Convert to fraction form
    1,552.68/2,329.02 = 457.04/x
  3. Step 3: Cross multiply
    1,552.68x = 2,329.02 × 457.04
  4. Step 4: Simplify right side
    1,552.68x = 1,064,455.30
  5. Step 5: Solve for x
    x = 1,064,455.30/1,552.68
  6. Step 6: Final answer
    x = 685.56

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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.