Home / 1,030.10-1,421.53-564.35

Finding the Fourth Proportional to 1,030.10, 1,421.53 and 564.35

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Solution

The fourth proportional to 1,030.10, 1,421.53 and 564.35 is: 778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.10 : 1,421.53 = 564.35 : x
  2. Step 2: Convert to fraction form
    1,030.10/1,421.53 = 564.35/x
  3. Step 3: Cross multiply
    1,030.10x = 1,421.53 × 564.35
  4. Step 4: Simplify right side
    1,030.10x = 802,233.35
  5. Step 5: Solve for x
    x = 802,233.35/1,030.10
  6. Step 6: Final answer
    x = 778.80

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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.