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Finding the Fourth Proportional to 1,307.02, 1,803.58 and 717.42

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Solution

The fourth proportional to 1,307.02, 1,803.58 and 717.42 is: 989.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.02 : 1,803.58 = 717.42 : x
  2. Step 2: Convert to fraction form
    1,307.02/1,803.58 = 717.42/x
  3. Step 3: Cross multiply
    1,307.02x = 1,803.58 × 717.42
  4. Step 4: Simplify right side
    1,307.02x = 1,293,924.36
  5. Step 5: Solve for x
    x = 1,293,924.36/1,307.02
  6. Step 6: Final answer
    x = 989.98

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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.