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Finding the Fourth Proportional to 1,070.48, 1,477.44 and 604.88

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Solution

The fourth proportional to 1,070.48, 1,477.44 and 604.88 is: 834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.48 : 1,477.44 = 604.88 : x
  2. Step 2: Convert to fraction form
    1,070.48/1,477.44 = 604.88/x
  3. Step 3: Cross multiply
    1,070.48x = 1,477.44 × 604.88
  4. Step 4: Simplify right side
    1,070.48x = 893,673.91
  5. Step 5: Solve for x
    x = 893,673.91/1,070.48
  6. Step 6: Final answer
    x = 834.83

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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.