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Finding the Fourth Proportional to 880.24, 1,214.80 and 530.88

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Solution

The fourth proportional to 880.24, 1,214.80 and 530.88 is: 732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.24 : 1,214.80 = 530.88 : x
  2. Step 2: Convert to fraction form
    880.24/1,214.80 = 530.88/x
  3. Step 3: Cross multiply
    880.24x = 1,214.80 × 530.88
  4. Step 4: Simplify right side
    880.24x = 644,913.02
  5. Step 5: Solve for x
    x = 644,913.02/880.24
  6. Step 6: Final answer
    x = 732.66

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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.