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Finding the Fourth Proportional to 1,430.07, 1,973.40 and 840.57

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Solution

The fourth proportional to 1,430.07, 1,973.40 and 840.57 is: 1,159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.07 : 1,973.40 = 840.57 : x
  2. Step 2: Convert to fraction form
    1,430.07/1,973.40 = 840.57/x
  3. Step 3: Cross multiply
    1,430.07x = 1,973.40 × 840.57
  4. Step 4: Simplify right side
    1,430.07x = 1,658,780.84
  5. Step 5: Solve for x
    x = 1,658,780.84/1,430.07
  6. Step 6: Final answer
    x = 1,159.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.