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Finding the Fourth Proportional to 1,307.01, 1,803.71 and 717.56

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Solution

The fourth proportional to 1,307.01, 1,803.71 and 717.56 is: 990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.01 : 1,803.71 = 717.56 : x
  2. Step 2: Convert to fraction form
    1,307.01/1,803.71 = 717.56/x
  3. Step 3: Cross multiply
    1,307.01x = 1,803.71 × 717.56
  4. Step 4: Simplify right side
    1,307.01x = 1,294,262.92
  5. Step 5: Solve for x
    x = 1,294,262.92/1,307.01
  6. Step 6: Final answer
    x = 990.25

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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.