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Finding the Fourth Proportional to 1,307.04, 1,803.76 and 809.72

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Solution

The fourth proportional to 1,307.04, 1,803.76 and 809.72 is: 1,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.04 : 1,803.76 = 809.72 : x
  2. Step 2: Convert to fraction form
    1,307.04/1,803.76 = 809.72/x
  3. Step 3: Cross multiply
    1,307.04x = 1,803.76 × 809.72
  4. Step 4: Simplify right side
    1,307.04x = 1,460,540.55
  5. Step 5: Solve for x
    x = 1,460,540.55/1,307.04
  6. Step 6: Final answer
    x = 1,117.44

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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.