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Finding the Fourth Proportional to 880.32, 1,214.64 and 569.76

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Solution

The fourth proportional to 880.32, 1,214.64 and 569.76 is: 786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.32 : 1,214.64 = 569.76 : x
  2. Step 2: Convert to fraction form
    880.32/1,214.64 = 569.76/x
  3. Step 3: Cross multiply
    880.32x = 1,214.64 × 569.76
  4. Step 4: Simplify right side
    880.32x = 692,053.29
  5. Step 5: Solve for x
    x = 692,053.29/880.32
  6. Step 6: Final answer
    x = 786.14

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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.