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Finding the Fourth Proportional to 880.53, 1,215.28 and 507.45

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Solution

The fourth proportional to 880.53, 1,215.28 and 507.45 is: 700.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.53 : 1,215.28 = 507.45 : x
  2. Step 2: Convert to fraction form
    880.53/1,215.28 = 507.45/x
  3. Step 3: Cross multiply
    880.53x = 1,215.28 × 507.45
  4. Step 4: Simplify right side
    880.53x = 616,693.84
  5. Step 5: Solve for x
    x = 616,693.84/880.53
  6. Step 6: Final answer
    x = 700.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.