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Finding the Fourth Proportional to 903.16, 1,353.90 and 646.12

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Solution

The fourth proportional to 903.16, 1,353.90 and 646.12 is: 968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.16 : 1,353.90 = 646.12 : x
  2. Step 2: Convert to fraction form
    903.16/1,353.90 = 646.12/x
  3. Step 3: Cross multiply
    903.16x = 1,353.90 × 646.12
  4. Step 4: Simplify right side
    903.16x = 874,781.87
  5. Step 5: Solve for x
    x = 874,781.87/903.16
  6. Step 6: Final answer
    x = 968.58

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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.