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Finding the Fourth Proportional to 747.14, 1,030.47 and 511.23

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Solution

The fourth proportional to 747.14, 1,030.47 and 511.23 is: 705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.14 : 1,030.47 = 511.23 : x
  2. Step 2: Convert to fraction form
    747.14/1,030.47 = 511.23/x
  3. Step 3: Cross multiply
    747.14x = 1,030.47 × 511.23
  4. Step 4: Simplify right side
    747.14x = 526,807.18
  5. Step 5: Solve for x
    x = 526,807.18/747.14
  6. Step 6: Final answer
    x = 705.10

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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.