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Finding the Fourth Proportional to 1,698.95, 2,548.46 and 603.32

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Solution

The fourth proportional to 1,698.95, 2,548.46 and 603.32 is: 905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.95 : 2,548.46 = 603.32 : x
  2. Step 2: Convert to fraction form
    1,698.95/2,548.46 = 603.32/x
  3. Step 3: Cross multiply
    1,698.95x = 2,548.46 × 603.32
  4. Step 4: Simplify right side
    1,698.95x = 1,537,547.16
  5. Step 5: Solve for x
    x = 1,537,547.16/1,698.95
  6. Step 6: Final answer
    x = 905.00

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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.