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Finding the Fourth Proportional to 653.10, 974.15 and 607.74

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Solution

The fourth proportional to 653.10, 974.15 and 607.74 is: 906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.10 : 974.15 = 607.74 : x
  2. Step 2: Convert to fraction form
    653.10/974.15 = 607.74/x
  3. Step 3: Cross multiply
    653.10x = 974.15 × 607.74
  4. Step 4: Simplify right side
    653.10x = 592,026.88
  5. Step 5: Solve for x
    x = 592,026.88/653.10
  6. Step 6: Final answer
    x = 906.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.