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Finding the Fourth Proportional to 1,477.08, 2,215.46 and 503.06

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Solution

The fourth proportional to 1,477.08, 2,215.46 and 503.06 is: 754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.08 : 2,215.46 = 503.06 : x
  2. Step 2: Convert to fraction form
    1,477.08/2,215.46 = 503.06/x
  3. Step 3: Cross multiply
    1,477.08x = 2,215.46 × 503.06
  4. Step 4: Simplify right side
    1,477.08x = 1,114,509.31
  5. Step 5: Solve for x
    x = 1,114,509.31/1,477.08
  6. Step 6: Final answer
    x = 754.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.