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Finding the Fourth Proportional to 1,017.52, 1,527 and 578.32

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Solution

The fourth proportional to 1,017.52, 1,527 and 578.32 is: 867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.52 : 1,527 = 578.32 : x
  2. Step 2: Convert to fraction form
    1,017.52/1,527 = 578.32/x
  3. Step 3: Cross multiply
    1,017.52x = 1,527 × 578.32
  4. Step 4: Simplify right side
    1,017.52x = 883,094.64
  5. Step 5: Solve for x
    x = 883,094.64/1,017.52
  6. Step 6: Final answer
    x = 867.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.