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Finding the Fourth Proportional to 1,069.53, 1,477.13 and 676.77

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Solution

The fourth proportional to 1,069.53, 1,477.13 and 676.77 is: 934.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.53 : 1,477.13 = 676.77 : x
  2. Step 2: Convert to fraction form
    1,069.53/1,477.13 = 676.77/x
  3. Step 3: Cross multiply
    1,069.53x = 1,477.13 × 676.77
  4. Step 4: Simplify right side
    1,069.53x = 999,673.89
  5. Step 5: Solve for x
    x = 999,673.89/1,069.53
  6. Step 6: Final answer
    x = 934.69

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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.