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Finding the Fourth Proportional to 1,307.17, 1,803.95 and 747.64

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Solution

The fourth proportional to 1,307.17, 1,803.95 and 747.64 is: 1,031.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.17 : 1,803.95 = 747.64 : x
  2. Step 2: Convert to fraction form
    1,307.17/1,803.95 = 747.64/x
  3. Step 3: Cross multiply
    1,307.17x = 1,803.95 × 747.64
  4. Step 4: Simplify right side
    1,307.17x = 1,348,705.18
  5. Step 5: Solve for x
    x = 1,348,705.18/1,307.17
  6. Step 6: Final answer
    x = 1,031.77

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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.