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Finding the Fourth Proportional to 753.48, 1,038.06 and 556.74

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Solution

The fourth proportional to 753.48, 1,038.06 and 556.74 is: 767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.48 : 1,038.06 = 556.74 : x
  2. Step 2: Convert to fraction form
    753.48/1,038.06 = 556.74/x
  3. Step 3: Cross multiply
    753.48x = 1,038.06 × 556.74
  4. Step 4: Simplify right side
    753.48x = 577,929.52
  5. Step 5: Solve for x
    x = 577,929.52/753.48
  6. Step 6: Final answer
    x = 767.01

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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.