Home / 1,407.03-2,109.08-584.18

Finding the Fourth Proportional to 1,407.03, 2,109.08 and 584.18

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Solution

The fourth proportional to 1,407.03, 2,109.08 and 584.18 is: 875.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.03 : 2,109.08 = 584.18 : x
  2. Step 2: Convert to fraction form
    1,407.03/2,109.08 = 584.18/x
  3. Step 3: Cross multiply
    1,407.03x = 2,109.08 × 584.18
  4. Step 4: Simplify right side
    1,407.03x = 1,232,068.89
  5. Step 5: Solve for x
    x = 1,232,068.89/1,407.03
  6. Step 6: Final answer
    x = 875.65

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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.