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Finding the Fourth Proportional to 1,698.16, 2,547.63 and 528.10

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Solution

The fourth proportional to 1,698.16, 2,547.63 and 528.10 is: 792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.16 : 2,547.63 = 528.10 : x
  2. Step 2: Convert to fraction form
    1,698.16/2,547.63 = 528.10/x
  3. Step 3: Cross multiply
    1,698.16x = 2,547.63 × 528.10
  4. Step 4: Simplify right side
    1,698.16x = 1,345,388.02
  5. Step 5: Solve for x
    x = 1,345,388.02/1,698.16
  6. Step 6: Final answer
    x = 792.26

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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.